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Finding the Third Proportional to 132,098 and 287,524

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Solution

The third proportional to 132,098 and 287,524 is: 625,823.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,098 : 287,524 = 287,524 : x
  2. Step 2: Convert to fraction form
    132,098/287,524 = 287,524/x
  3. Step 3: Cross multiply
    132,098x = 287,524 × 287,524
  4. Step 4: Simplify right side
    132,098x = 82,670,050,576
  5. Step 5: Solve for x
    x = 82,670,050,576/132,098
  6. Step 6: Final answer
    x = 625,823.64

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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.