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Finding the Third Proportional to 157,522 and 345,663

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Solution

The third proportional to 157,522 and 345,663 is: 758,515.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,522 : 345,663 = 345,663 : x
  2. Step 2: Convert to fraction form
    157,522/345,663 = 345,663/x
  3. Step 3: Cross multiply
    157,522x = 345,663 × 345,663
  4. Step 4: Simplify right side
    157,522x = 119,482,909,569
  5. Step 5: Solve for x
    x = 119,482,909,569/157,522
  6. Step 6: Final answer
    x = 758,515.70

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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.