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Finding the Third Proportional to 132,436 and 281,943

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Solution

The third proportional to 132,436 and 281,943 is: 600,228.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,436 : 281,943 = 281,943 : x
  2. Step 2: Convert to fraction form
    132,436/281,943 = 281,943/x
  3. Step 3: Cross multiply
    132,436x = 281,943 × 281,943
  4. Step 4: Simplify right side
    132,436x = 79,491,855,249
  5. Step 5: Solve for x
    x = 79,491,855,249/132,436
  6. Step 6: Final answer
    x = 600,228.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.