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Finding the Third Proportional to 132,568.50 and 288,189.75

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Solution

The third proportional to 132,568.50 and 288,189.75 is: 626,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,568.50 : 288,189.75 = 288,189.75 : x
  2. Step 2: Convert to fraction form
    132,568.50/288,189.75 = 288,189.75/x
  3. Step 3: Cross multiply
    132,568.50x = 288,189.75 × 288,189.75
  4. Step 4: Simplify right side
    132,568.50x = 83,053,332,005.06
  5. Step 5: Solve for x
    x = 83,053,332,005.06/132,568.50
  6. Step 6: Final answer
    x = 626,493.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.