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Finding the Third Proportional to 132,496 and 198,220

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Solution

The third proportional to 132,496 and 198,220 is: 296,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,496 : 198,220 = 198,220 : x
  2. Step 2: Convert to fraction form
    132,496/198,220 = 198,220/x
  3. Step 3: Cross multiply
    132,496x = 198,220 × 198,220
  4. Step 4: Simplify right side
    132,496x = 39,291,168,400
  5. Step 5: Solve for x
    x = 39,291,168,400/132,496
  6. Step 6: Final answer
    x = 296,546.07

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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.