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Finding the Third Proportional to 157,694 and 341,635

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Solution

The third proportional to 157,694 and 341,635 is: 740,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,694 : 341,635 = 341,635 : x
  2. Step 2: Convert to fraction form
    157,694/341,635 = 341,635/x
  3. Step 3: Cross multiply
    157,694x = 341,635 × 341,635
  4. Step 4: Simplify right side
    157,694x = 116,714,473,225
  5. Step 5: Solve for x
    x = 116,714,473,225/157,694
  6. Step 6: Final answer
    x = 740,132.62

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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.