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Finding the Third Proportional to 132,304 and 288,368

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Solution

The third proportional to 132,304 and 288,368 is: 628,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304 : 288,368 = 288,368 : x
  2. Step 2: Convert to fraction form
    132,304/288,368 = 288,368/x
  3. Step 3: Cross multiply
    132,304x = 288,368 × 288,368
  4. Step 4: Simplify right side
    132,304x = 83,156,103,424
  5. Step 5: Solve for x
    x = 83,156,103,424/132,304
  6. Step 6: Final answer
    x = 628,522.97

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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.