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Finding the Third Proportional to 115,027.31 and 235,632.38

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Solution

The third proportional to 115,027.31 and 235,632.38 is: 482,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,027.31 : 235,632.38 = 235,632.38 : x
  2. Step 2: Convert to fraction form
    115,027.31/235,632.38 = 235,632.38/x
  3. Step 3: Cross multiply
    115,027.31x = 235,632.38 × 235,632.38
  4. Step 4: Simplify right side
    115,027.31x = 55,522,616,148.14
  5. Step 5: Solve for x
    x = 55,522,616,148.14/115,027.31
  6. Step 6: Final answer
    x = 482,690.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.