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Finding the Third Proportional to 170,052,741 and 255,034,824

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Solution

The third proportional to 170,052,741 and 255,034,824 is: 382,485,816.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,052,741 : 255,034,824 = 255,034,824 : x
  2. Step 2: Convert to fraction form
    170,052,741/255,034,824 = 255,034,824/x
  3. Step 3: Cross multiply
    170,052,741x = 255,034,824 × 255,034,824
  4. Step 4: Simplify right side
    170,052,741x = 65,042,761,452,710,976
  5. Step 5: Solve for x
    x = 65,042,761,452,710,976/170,052,741
  6. Step 6: Final answer
    x = 382,485,816.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.