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Finding the Third Proportional to 132,688 and 198,544

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Solution

The third proportional to 132,688 and 198,544 is: 297,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,688 : 198,544 = 198,544 : x
  2. Step 2: Convert to fraction form
    132,688/198,544 = 198,544/x
  3. Step 3: Cross multiply
    132,688x = 198,544 × 198,544
  4. Step 4: Simplify right side
    132,688x = 39,419,719,936
  5. Step 5: Solve for x
    x = 39,419,719,936/132,688
  6. Step 6: Final answer
    x = 297,085.79

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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.