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Finding the Third Proportional to 185,032 and 204,472

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Solution

The third proportional to 185,032 and 204,472 is: 225,954.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,032 : 204,472 = 204,472 : x
  2. Step 2: Convert to fraction form
    185,032/204,472 = 204,472/x
  3. Step 3: Cross multiply
    185,032x = 204,472 × 204,472
  4. Step 4: Simplify right side
    185,032x = 41,808,798,784
  5. Step 5: Solve for x
    x = 41,808,798,784/185,032
  6. Step 6: Final answer
    x = 225,954.42

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.