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Finding the Third Proportional to 159,458 and 246,747

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Solution

The third proportional to 159,458 and 246,747 is: 381,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,458 : 246,747 = 246,747 : x
  2. Step 2: Convert to fraction form
    159,458/246,747 = 246,747/x
  3. Step 3: Cross multiply
    159,458x = 246,747 × 246,747
  4. Step 4: Simplify right side
    159,458x = 60,884,082,009
  5. Step 5: Solve for x
    x = 60,884,082,009/159,458
  6. Step 6: Final answer
    x = 381,818.92

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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.