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Finding the Third Proportional to 132,523 and 287,320

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Solution

The third proportional to 132,523 and 287,320 is: 622,931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,523 : 287,320 = 287,320 : x
  2. Step 2: Convert to fraction form
    132,523/287,320 = 287,320/x
  3. Step 3: Cross multiply
    132,523x = 287,320 × 287,320
  4. Step 4: Simplify right side
    132,523x = 82,552,782,400
  5. Step 5: Solve for x
    x = 82,552,782,400/132,523
  6. Step 6: Final answer
    x = 622,931.74

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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.