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Finding the Third Proportional to 185,034.38 and 403,481.25

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Solution

The third proportional to 185,034.38 and 403,481.25 is: 879,820.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,034.38 : 403,481.25 = 403,481.25 : x
  2. Step 2: Convert to fraction form
    185,034.38/403,481.25 = 403,481.25/x
  3. Step 3: Cross multiply
    185,034.38x = 403,481.25 × 403,481.25
  4. Step 4: Simplify right side
    185,034.38x = 162,797,119,101.56
  5. Step 5: Solve for x
    x = 162,797,119,101.56/185,034.38
  6. Step 6: Final answer
    x = 879,820.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.