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Finding the Third Proportional to 160,233 and 251,349

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Solution

The third proportional to 160,233 and 251,349 is: 394,277.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,233 : 251,349 = 251,349 : x
  2. Step 2: Convert to fraction form
    160,233/251,349 = 251,349/x
  3. Step 3: Cross multiply
    160,233x = 251,349 × 251,349
  4. Step 4: Simplify right side
    160,233x = 63,176,319,801
  5. Step 5: Solve for x
    x = 63,176,319,801/160,233
  6. Step 6: Final answer
    x = 394,277.83

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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.