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Finding the Third Proportional to 132,282 and 198,720

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Solution

The third proportional to 132,282 and 198,720 is: 298,526.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,282 : 198,720 = 198,720 : x
  2. Step 2: Convert to fraction form
    132,282/198,720 = 198,720/x
  3. Step 3: Cross multiply
    132,282x = 198,720 × 198,720
  4. Step 4: Simplify right side
    132,282x = 39,489,638,400
  5. Step 5: Solve for x
    x = 39,489,638,400/132,282
  6. Step 6: Final answer
    x = 298,526.17

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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.