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Finding the Third Proportional to 132,982 and 292,928

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Solution

The third proportional to 132,982 and 292,928 is: 645,251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,982 : 292,928 = 292,928 : x
  2. Step 2: Convert to fraction form
    132,982/292,928 = 292,928/x
  3. Step 3: Cross multiply
    132,982x = 292,928 × 292,928
  4. Step 4: Simplify right side
    132,982x = 85,806,813,184
  5. Step 5: Solve for x
    x = 85,806,813,184/132,982
  6. Step 6: Final answer
    x = 645,251.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.