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Finding the Third Proportional to 132,202 and 198,597

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Solution

The third proportional to 132,202 and 198,597 is: 298,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,202 : 198,597 = 198,597 : x
  2. Step 2: Convert to fraction form
    132,202/198,597 = 198,597/x
  3. Step 3: Cross multiply
    132,202x = 198,597 × 198,597
  4. Step 4: Simplify right side
    132,202x = 39,440,768,409
  5. Step 5: Solve for x
    x = 39,440,768,409/132,202
  6. Step 6: Final answer
    x = 298,337.15

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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.