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Finding the Third Proportional to 157,360 and 345,824

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Solution

The third proportional to 157,360 and 345,824 is: 760,004.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,360 : 345,824 = 345,824 : x
  2. Step 2: Convert to fraction form
    157,360/345,824 = 345,824/x
  3. Step 3: Cross multiply
    157,360x = 345,824 × 345,824
  4. Step 4: Simplify right side
    157,360x = 119,594,238,976
  5. Step 5: Solve for x
    x = 119,594,238,976/157,360
  6. Step 6: Final answer
    x = 760,004.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.