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Finding the Third Proportional to 157,732 and 341,694

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Solution

The third proportional to 157,732 and 341,694 is: 740,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,732 : 341,694 = 341,694 : x
  2. Step 2: Convert to fraction form
    157,732/341,694 = 341,694/x
  3. Step 3: Cross multiply
    157,732x = 341,694 × 341,694
  4. Step 4: Simplify right side
    157,732x = 116,754,789,636
  5. Step 5: Solve for x
    x = 116,754,789,636/157,732
  6. Step 6: Final answer
    x = 740,209.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.