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Finding the Third Proportional to 170,762 and 254,758

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Solution

The third proportional to 170,762 and 254,758 is: 380,070.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,762 : 254,758 = 254,758 : x
  2. Step 2: Convert to fraction form
    170,762/254,758 = 254,758/x
  3. Step 3: Cross multiply
    170,762x = 254,758 × 254,758
  4. Step 4: Simplify right side
    170,762x = 64,901,638,564
  5. Step 5: Solve for x
    x = 64,901,638,564/170,762
  6. Step 6: Final answer
    x = 380,070.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.