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Finding the Third Proportional to 185,060 and 398,184

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Solution

The third proportional to 185,060 and 398,184 is: 856,751.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,060 : 398,184 = 398,184 : x
  2. Step 2: Convert to fraction form
    185,060/398,184 = 398,184/x
  3. Step 3: Cross multiply
    185,060x = 398,184 × 398,184
  4. Step 4: Simplify right side
    185,060x = 158,550,497,856
  5. Step 5: Solve for x
    x = 158,550,497,856/185,060
  6. Step 6: Final answer
    x = 856,751.85

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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.