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Finding the Third Proportional to 159,591 and 242,703

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Solution

The third proportional to 159,591 and 242,703 is: 369,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,591 : 242,703 = 242,703 : x
  2. Step 2: Convert to fraction form
    159,591/242,703 = 242,703/x
  3. Step 3: Cross multiply
    159,591x = 242,703 × 242,703
  4. Step 4: Simplify right side
    159,591x = 58,904,746,209
  5. Step 5: Solve for x
    x = 58,904,746,209/159,591
  6. Step 6: Final answer
    x = 369,098.17

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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.