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Finding the Third Proportional to 198,084 and 298,072

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Solution

The third proportional to 198,084 and 298,072 is: 448,531.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,084 : 298,072 = 298,072 : x
  2. Step 2: Convert to fraction form
    198,084/298,072 = 298,072/x
  3. Step 3: Cross multiply
    198,084x = 298,072 × 298,072
  4. Step 4: Simplify right side
    198,084x = 88,846,917,184
  5. Step 5: Solve for x
    x = 88,846,917,184/198,084
  6. Step 6: Final answer
    x = 448,531.52

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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.