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Finding the Third Proportional to 160,229 and 251,342

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Solution

The third proportional to 160,229 and 251,342 is: 394,265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,229 : 251,342 = 251,342 : x
  2. Step 2: Convert to fraction form
    160,229/251,342 = 251,342/x
  3. Step 3: Cross multiply
    160,229x = 251,342 × 251,342
  4. Step 4: Simplify right side
    160,229x = 63,172,800,964
  5. Step 5: Solve for x
    x = 63,172,800,964/160,229
  6. Step 6: Final answer
    x = 394,265.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.