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Finding the Third Proportional to 132,304 and 199,685

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Solution

The third proportional to 132,304 and 199,685 is: 301,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304 : 199,685 = 199,685 : x
  2. Step 2: Convert to fraction form
    132,304/199,685 = 199,685/x
  3. Step 3: Cross multiply
    132,304x = 199,685 × 199,685
  4. Step 4: Simplify right side
    132,304x = 39,874,099,225
  5. Step 5: Solve for x
    x = 39,874,099,225/132,304
  6. Step 6: Final answer
    x = 301,382.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.