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Finding the Third Proportional to 132,864 and 197,403

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Solution

The third proportional to 132,864 and 197,403 is: 293,291.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,864 : 197,403 = 197,403 : x
  2. Step 2: Convert to fraction form
    132,864/197,403 = 197,403/x
  3. Step 3: Cross multiply
    132,864x = 197,403 × 197,403
  4. Step 4: Simplify right side
    132,864x = 38,967,944,409
  5. Step 5: Solve for x
    x = 38,967,944,409/132,864
  6. Step 6: Final answer
    x = 293,291.97

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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.