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Finding the Third Proportional to 159,476 and 246,772

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Solution

The third proportional to 159,476 and 246,772 is: 381,853.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,476 : 246,772 = 246,772 : x
  2. Step 2: Convert to fraction form
    159,476/246,772 = 246,772/x
  3. Step 3: Cross multiply
    159,476x = 246,772 × 246,772
  4. Step 4: Simplify right side
    159,476x = 60,896,419,984
  5. Step 5: Solve for x
    x = 60,896,419,984/159,476
  6. Step 6: Final answer
    x = 381,853.19

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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.