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Finding the Third Proportional to 185,288 and 404,032

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Solution

The third proportional to 185,288 and 404,032 is: 881,016.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,288 : 404,032 = 404,032 : x
  2. Step 2: Convert to fraction form
    185,288/404,032 = 404,032/x
  3. Step 3: Cross multiply
    185,288x = 404,032 × 404,032
  4. Step 4: Simplify right side
    185,288x = 163,241,857,024
  5. Step 5: Solve for x
    x = 163,241,857,024/185,288
  6. Step 6: Final answer
    x = 881,016.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.