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Finding the Third Proportional to 187,632 and 382,914

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Solution

The third proportional to 187,632 and 382,914 is: 781,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,632 : 382,914 = 382,914 : x
  2. Step 2: Convert to fraction form
    187,632/382,914 = 382,914/x
  3. Step 3: Cross multiply
    187,632x = 382,914 × 382,914
  4. Step 4: Simplify right side
    187,632x = 146,623,131,396
  5. Step 5: Solve for x
    x = 146,623,131,396/187,632
  6. Step 6: Final answer
    x = 781,439.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.