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Finding the Third Proportional to 132,576.75 and 288,205.88

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Solution

The third proportional to 132,576.75 and 288,205.88 is: 626,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,576.75 : 288,205.88 = 288,205.88 : x
  2. Step 2: Convert to fraction form
    132,576.75/288,205.88 = 288,205.88/x
  3. Step 3: Cross multiply
    132,576.75x = 288,205.88 × 288,205.88
  4. Step 4: Simplify right side
    132,576.75x = 83,062,626,384.52
  5. Step 5: Solve for x
    x = 83,062,626,384.52/132,576.75
  6. Step 6: Final answer
    x = 626,524.83

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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.