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Finding the Third Proportional to 132,942 and 197,325

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Solution

The third proportional to 132,942 and 197,325 is: 292,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,942 : 197,325 = 197,325 : x
  2. Step 2: Convert to fraction form
    132,942/197,325 = 197,325/x
  3. Step 3: Cross multiply
    132,942x = 197,325 × 197,325
  4. Step 4: Simplify right side
    132,942x = 38,937,155,625
  5. Step 5: Solve for x
    x = 38,937,155,625/132,942
  6. Step 6: Final answer
    x = 292,888.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.