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Finding the Third Proportional to 157,712 and 341,674

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Solution

The third proportional to 157,712 and 341,674 is: 740,217.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,712 : 341,674 = 341,674 : x
  2. Step 2: Convert to fraction form
    157,712/341,674 = 341,674/x
  3. Step 3: Cross multiply
    157,712x = 341,674 × 341,674
  4. Step 4: Simplify right side
    157,712x = 116,741,122,276
  5. Step 5: Solve for x
    x = 116,741,122,276/157,712
  6. Step 6: Final answer
    x = 740,217.12

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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.