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Finding the Third Proportional to 198,370.27 and 298,000.27

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Solution

The third proportional to 198,370.27 and 298,000.27 is: 447,668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,370.27 : 298,000.27 = 298,000.27 : x
  2. Step 2: Convert to fraction form
    198,370.27/298,000.27 = 298,000.27/x
  3. Step 3: Cross multiply
    198,370.27x = 298,000.27 × 298,000.27
  4. Step 4: Simplify right side
    198,370.27x = 88,804,158,312.57
  5. Step 5: Solve for x
    x = 88,804,158,312.57/198,370.27
  6. Step 6: Final answer
    x = 447,668.70

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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.