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Finding the Third Proportional to 132,870 and 197,413

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Solution

The third proportional to 132,870 and 197,413 is: 293,308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,870 : 197,413 = 197,413 : x
  2. Step 2: Convert to fraction form
    132,870/197,413 = 197,413/x
  3. Step 3: Cross multiply
    132,870x = 197,413 × 197,413
  4. Step 4: Simplify right side
    132,870x = 38,971,892,569
  5. Step 5: Solve for x
    x = 38,971,892,569/132,870
  6. Step 6: Final answer
    x = 293,308.44

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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.