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Finding the Third Proportional to 182,952 and 281,601

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Solution

The third proportional to 182,952 and 281,601 is: 433,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,952 : 281,601 = 281,601 : x
  2. Step 2: Convert to fraction form
    182,952/281,601 = 281,601/x
  3. Step 3: Cross multiply
    182,952x = 281,601 × 281,601
  4. Step 4: Simplify right side
    182,952x = 79,299,123,201
  5. Step 5: Solve for x
    x = 79,299,123,201/182,952
  6. Step 6: Final answer
    x = 433,442.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.