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Finding the Third Proportional to 185,105.25 and 396,454.50

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Solution

The third proportional to 185,105.25 and 396,454.50 is: 849,117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,105.25 : 396,454.50 = 396,454.50 : x
  2. Step 2: Convert to fraction form
    185,105.25/396,454.50 = 396,454.50/x
  3. Step 3: Cross multiply
    185,105.25x = 396,454.50 × 396,454.50
  4. Step 4: Simplify right side
    185,105.25x = 157,176,170,570.25
  5. Step 5: Solve for x
    x = 157,176,170,570.25/185,105.25
  6. Step 6: Final answer
    x = 849,117.84

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.