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Finding the Third Proportional to 157,588 and 345,792

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Solution

The third proportional to 157,588 and 345,792 is: 758,764.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,588 : 345,792 = 345,792 : x
  2. Step 2: Convert to fraction form
    157,588/345,792 = 345,792/x
  3. Step 3: Cross multiply
    157,588x = 345,792 × 345,792
  4. Step 4: Simplify right side
    157,588x = 119,572,107,264
  5. Step 5: Solve for x
    x = 119,572,107,264/157,588
  6. Step 6: Final answer
    x = 758,764.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.