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Finding the Third Proportional to 165,782 and 250,055

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Solution

The third proportional to 165,782 and 250,055 is: 377,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,782 : 250,055 = 250,055 : x
  2. Step 2: Convert to fraction form
    165,782/250,055 = 250,055/x
  3. Step 3: Cross multiply
    165,782x = 250,055 × 250,055
  4. Step 4: Simplify right side
    165,782x = 62,527,503,025
  5. Step 5: Solve for x
    x = 62,527,503,025/165,782
  6. Step 6: Final answer
    x = 377,167.02

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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.