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Finding the Third Proportional to 185,048.25 and 398,163

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Solution

The third proportional to 185,048.25 and 398,163 is: 856,715.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,048.25 : 398,163 = 398,163 : x
  2. Step 2: Convert to fraction form
    185,048.25/398,163 = 398,163/x
  3. Step 3: Cross multiply
    185,048.25x = 398,163 × 398,163
  4. Step 4: Simplify right side
    185,048.25x = 158,533,774,569
  5. Step 5: Solve for x
    x = 158,533,774,569/185,048.25
  6. Step 6: Final answer
    x = 856,715.88

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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.