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Finding the Third Proportional to 132,376 and 288,048

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Solution

The third proportional to 132,376 and 288,048 is: 626,787.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,376 : 288,048 = 288,048 : x
  2. Step 2: Convert to fraction form
    132,376/288,048 = 288,048/x
  3. Step 3: Cross multiply
    132,376x = 288,048 × 288,048
  4. Step 4: Simplify right side
    132,376x = 82,971,650,304
  5. Step 5: Solve for x
    x = 82,971,650,304/132,376
  6. Step 6: Final answer
    x = 626,787.71

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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.