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Finding the Third Proportional to 187,002 and 243,624

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Solution

The third proportional to 187,002 and 243,624 is: 317,390.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,002 : 243,624 = 243,624 : x
  2. Step 2: Convert to fraction form
    187,002/243,624 = 243,624/x
  3. Step 3: Cross multiply
    187,002x = 243,624 × 243,624
  4. Step 4: Simplify right side
    187,002x = 59,352,653,376
  5. Step 5: Solve for x
    x = 59,352,653,376/187,002
  6. Step 6: Final answer
    x = 317,390.47

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.