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Finding the Third Proportional to 132,298 and 198,746

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Solution

The third proportional to 132,298 and 198,746 is: 298,568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,298 : 198,746 = 198,746 : x
  2. Step 2: Convert to fraction form
    132,298/198,746 = 198,746/x
  3. Step 3: Cross multiply
    132,298x = 198,746 × 198,746
  4. Step 4: Simplify right side
    132,298x = 39,499,972,516
  5. Step 5: Solve for x
    x = 39,499,972,516/132,298
  6. Step 6: Final answer
    x = 298,568.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.