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Finding the Third Proportional to 187,652 and 382,942

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Solution

The third proportional to 187,652 and 382,942 is: 781,470.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,652 : 382,942 = 382,942 : x
  2. Step 2: Convert to fraction form
    187,652/382,942 = 382,942/x
  3. Step 3: Cross multiply
    187,652x = 382,942 × 382,942
  4. Step 4: Simplify right side
    187,652x = 146,644,575,364
  5. Step 5: Solve for x
    x = 146,644,575,364/187,652
  6. Step 6: Final answer
    x = 781,470.89

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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.