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Finding the Third Proportional to 132,822 and 197,352

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Solution

The third proportional to 132,822 and 197,352 is: 293,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,822 : 197,352 = 197,352 : x
  2. Step 2: Convert to fraction form
    132,822/197,352 = 197,352/x
  3. Step 3: Cross multiply
    132,822x = 197,352 × 197,352
  4. Step 4: Simplify right side
    132,822x = 38,947,811,904
  5. Step 5: Solve for x
    x = 38,947,811,904/132,822
  6. Step 6: Final answer
    x = 293,233.14

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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.