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Finding the Third Proportional to 132,593 and 200,816

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Solution

The third proportional to 132,593 and 200,816 is: 304,141.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,593 : 200,816 = 200,816 : x
  2. Step 2: Convert to fraction form
    132,593/200,816 = 200,816/x
  3. Step 3: Cross multiply
    132,593x = 200,816 × 200,816
  4. Step 4: Simplify right side
    132,593x = 40,327,065,856
  5. Step 5: Solve for x
    x = 40,327,065,856/132,593
  6. Step 6: Final answer
    x = 304,141.74

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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.