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Finding the Third Proportional to 159,585 and 242,694

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Solution

The third proportional to 159,585 and 242,694 is: 369,084.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,585 : 242,694 = 242,694 : x
  2. Step 2: Convert to fraction form
    159,585/242,694 = 242,694/x
  3. Step 3: Cross multiply
    159,585x = 242,694 × 242,694
  4. Step 4: Simplify right side
    159,585x = 58,900,377,636
  5. Step 5: Solve for x
    x = 58,900,377,636/159,585
  6. Step 6: Final answer
    x = 369,084.67

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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.