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Finding the Third Proportional to 185,166 and 398,763

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Solution

The third proportional to 185,166 and 398,763 is: 858,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,166 : 398,763 = 398,763 : x
  2. Step 2: Convert to fraction form
    185,166/398,763 = 398,763/x
  3. Step 3: Cross multiply
    185,166x = 398,763 × 398,763
  4. Step 4: Simplify right side
    185,166x = 159,011,930,169
  5. Step 5: Solve for x
    x = 159,011,930,169/185,166
  6. Step 6: Final answer
    x = 858,753.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.