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Finding the Third Proportional to 198,892 and 300,258

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Solution

The third proportional to 198,892 and 300,258 is: 453,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,892 : 300,258 = 300,258 : x
  2. Step 2: Convert to fraction form
    198,892/300,258 = 300,258/x
  3. Step 3: Cross multiply
    198,892x = 300,258 × 300,258
  4. Step 4: Simplify right side
    198,892x = 90,154,866,564
  5. Step 5: Solve for x
    x = 90,154,866,564/198,892
  6. Step 6: Final answer
    x = 453,285.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.