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Finding the Third Proportional to 182,916 and 281,508

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Solution

The third proportional to 182,916 and 281,508 is: 433,241.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,916 : 281,508 = 281,508 : x
  2. Step 2: Convert to fraction form
    182,916/281,508 = 281,508/x
  3. Step 3: Cross multiply
    182,916x = 281,508 × 281,508
  4. Step 4: Simplify right side
    182,916x = 79,246,754,064
  5. Step 5: Solve for x
    x = 79,246,754,064/182,916
  6. Step 6: Final answer
    x = 433,241.24

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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.