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Finding the Third Proportional to 165,868.50 and 250,177.13

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Solution

The third proportional to 165,868.50 and 250,177.13 is: 377,338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,868.50 : 250,177.13 = 250,177.13 : x
  2. Step 2: Convert to fraction form
    165,868.50/250,177.13 = 250,177.13/x
  3. Step 3: Cross multiply
    165,868.50x = 250,177.13 × 250,177.13
  4. Step 4: Simplify right side
    165,868.50x = 62,588,593,873.27
  5. Step 5: Solve for x
    x = 62,588,593,873.27/165,868.50
  6. Step 6: Final answer
    x = 377,338.64

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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.