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Finding the Third Proportional to 132,727.50 and 288,780.75

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Solution

The third proportional to 132,727.50 and 288,780.75 is: 628,312.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,727.50 : 288,780.75 = 288,780.75 : x
  2. Step 2: Convert to fraction form
    132,727.50/288,780.75 = 288,780.75/x
  3. Step 3: Cross multiply
    132,727.50x = 288,780.75 × 288,780.75
  4. Step 4: Simplify right side
    132,727.50x = 83,394,321,570.56
  5. Step 5: Solve for x
    x = 83,394,321,570.56/132,727.50
  6. Step 6: Final answer
    x = 628,312.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.