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Finding the Third Proportional to 132,866 and 197,407

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Solution

The third proportional to 132,866 and 197,407 is: 293,299.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,866 : 197,407 = 197,407 : x
  2. Step 2: Convert to fraction form
    132,866/197,407 = 197,407/x
  3. Step 3: Cross multiply
    132,866x = 197,407 × 197,407
  4. Step 4: Simplify right side
    132,866x = 38,969,523,649
  5. Step 5: Solve for x
    x = 38,969,523,649/132,866
  6. Step 6: Final answer
    x = 293,299.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.