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Finding the Third Proportional to 157,806 and 244,494

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Solution

The third proportional to 157,806 and 244,494 is: 378,802.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,806 : 244,494 = 244,494 : x
  2. Step 2: Convert to fraction form
    157,806/244,494 = 244,494/x
  3. Step 3: Cross multiply
    157,806x = 244,494 × 244,494
  4. Step 4: Simplify right side
    157,806x = 59,777,316,036
  5. Step 5: Solve for x
    x = 59,777,316,036/157,806
  6. Step 6: Final answer
    x = 378,802.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.