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Finding the Third Proportional to 132,269 and 198,705

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Solution

The third proportional to 132,269 and 198,705 is: 298,510.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,269 : 198,705 = 198,705 : x
  2. Step 2: Convert to fraction form
    132,269/198,705 = 198,705/x
  3. Step 3: Cross multiply
    132,269x = 198,705 × 198,705
  4. Step 4: Simplify right side
    132,269x = 39,483,677,025
  5. Step 5: Solve for x
    x = 39,483,677,025/132,269
  6. Step 6: Final answer
    x = 298,510.44

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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.