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Finding the Third Proportional to 187,533 and 404,384

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Solution

The third proportional to 187,533 and 404,384 is: 871,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,533 : 404,384 = 404,384 : x
  2. Step 2: Convert to fraction form
    187,533/404,384 = 404,384/x
  3. Step 3: Cross multiply
    187,533x = 404,384 × 404,384
  4. Step 4: Simplify right side
    187,533x = 163,526,419,456
  5. Step 5: Solve for x
    x = 163,526,419,456/187,533
  6. Step 6: Final answer
    x = 871,987.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.