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Finding the Third Proportional to 132,300 and 198,749

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Solution

The third proportional to 132,300 and 198,749 is: 298,572.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,300 : 198,749 = 198,749 : x
  2. Step 2: Convert to fraction form
    132,300/198,749 = 198,749/x
  3. Step 3: Cross multiply
    132,300x = 198,749 × 198,749
  4. Step 4: Simplify right side
    132,300x = 39,501,165,001
  5. Step 5: Solve for x
    x = 39,501,165,001/132,300
  6. Step 6: Final answer
    x = 298,572.68

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