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Finding the Third Proportional to 187,692 and 404,908

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Solution

The third proportional to 187,692 and 404,908 is: 873,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,692 : 404,908 = 404,908 : x
  2. Step 2: Convert to fraction form
    187,692/404,908 = 404,908/x
  3. Step 3: Cross multiply
    187,692x = 404,908 × 404,908
  4. Step 4: Simplify right side
    187,692x = 163,950,488,464
  5. Step 5: Solve for x
    x = 163,950,488,464/187,692
  6. Step 6: Final answer
    x = 873,508.13

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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.