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Finding the Third Proportional to 179,694 and 278,624

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Solution

The third proportional to 179,694 and 278,624 is: 432,019.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,694 : 278,624 = 278,624 : x
  2. Step 2: Convert to fraction form
    179,694/278,624 = 278,624/x
  3. Step 3: Cross multiply
    179,694x = 278,624 × 278,624
  4. Step 4: Simplify right side
    179,694x = 77,631,333,376
  5. Step 5: Solve for x
    x = 77,631,333,376/179,694
  6. Step 6: Final answer
    x = 432,019.62

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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.