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Finding the Third Proportional to 160,730 and 244,839

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Solution

The third proportional to 160,730 and 244,839 is: 372,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,730 : 244,839 = 244,839 : x
  2. Step 2: Convert to fraction form
    160,730/244,839 = 244,839/x
  3. Step 3: Cross multiply
    160,730x = 244,839 × 244,839
  4. Step 4: Simplify right side
    160,730x = 59,946,135,921
  5. Step 5: Solve for x
    x = 59,946,135,921/160,730
  6. Step 6: Final answer
    x = 372,961.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.