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Finding the Third Proportional to 132,432.50 and 287,441

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Solution

The third proportional to 132,432.50 and 287,441 is: 623,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,432.50 : 287,441 = 287,441 : x
  2. Step 2: Convert to fraction form
    132,432.50/287,441 = 287,441/x
  3. Step 3: Cross multiply
    132,432.50x = 287,441 × 287,441
  4. Step 4: Simplify right side
    132,432.50x = 82,622,328,481
  5. Step 5: Solve for x
    x = 82,622,328,481/132,432.50
  6. Step 6: Final answer
    x = 623,882.57

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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.