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Finding the Third Proportional to 132,267 and 198,702

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Solution

The third proportional to 132,267 and 198,702 is: 298,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,267 : 198,702 = 198,702 : x
  2. Step 2: Convert to fraction form
    132,267/198,702 = 198,702/x
  3. Step 3: Cross multiply
    132,267x = 198,702 × 198,702
  4. Step 4: Simplify right side
    132,267x = 39,482,484,804
  5. Step 5: Solve for x
    x = 39,482,484,804/132,267
  6. Step 6: Final answer
    x = 298,505.94

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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.