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Finding the Third Proportional to 145,540.13 and 217,414.13

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Solution

The third proportional to 145,540.13 and 217,414.13 is: 324,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,540.13 : 217,414.13 = 217,414.13 : x
  2. Step 2: Convert to fraction form
    145,540.13/217,414.13 = 217,414.13/x
  3. Step 3: Cross multiply
    145,540.13x = 217,414.13 × 217,414.13
  4. Step 4: Simplify right side
    145,540.13x = 47,268,901,749.52
  5. Step 5: Solve for x
    x = 47,268,901,749.52/145,540.13
  6. Step 6: Final answer
    x = 324,782.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.