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Finding the Third Proportional to 151,905 and 244,059

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Solution

The third proportional to 151,905 and 244,059 is: 392,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,905 : 244,059 = 244,059 : x
  2. Step 2: Convert to fraction form
    151,905/244,059 = 244,059/x
  3. Step 3: Cross multiply
    151,905x = 244,059 × 244,059
  4. Step 4: Simplify right side
    151,905x = 59,564,795,481
  5. Step 5: Solve for x
    x = 59,564,795,481/151,905
  6. Step 6: Final answer
    x = 392,118.73

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.