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Finding the Third Proportional to 132,244 and 198,654

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Solution

The third proportional to 132,244 and 198,654 is: 298,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,244 : 198,654 = 198,654 : x
  2. Step 2: Convert to fraction form
    132,244/198,654 = 198,654/x
  3. Step 3: Cross multiply
    132,244x = 198,654 × 198,654
  4. Step 4: Simplify right side
    132,244x = 39,463,411,716
  5. Step 5: Solve for x
    x = 39,463,411,716/132,244
  6. Step 6: Final answer
    x = 298,413.63

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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.