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Finding the Third Proportional to 157,600 and 341,452

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Solution

The third proportional to 157,600 and 341,452 is: 739,780.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,600 : 341,452 = 341,452 : x
  2. Step 2: Convert to fraction form
    157,600/341,452 = 341,452/x
  3. Step 3: Cross multiply
    157,600x = 341,452 × 341,452
  4. Step 4: Simplify right side
    157,600x = 116,589,468,304
  5. Step 5: Solve for x
    x = 116,589,468,304/157,600
  6. Step 6: Final answer
    x = 739,780.89

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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.