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Finding the Third Proportional to 188,034.75 and 291,286.13

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Solution

The third proportional to 188,034.75 and 291,286.13 is: 451,233.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,034.75 : 291,286.13 = 291,286.13 : x
  2. Step 2: Convert to fraction form
    188,034.75/291,286.13 = 291,286.13/x
  3. Step 3: Cross multiply
    188,034.75x = 291,286.13 × 291,286.13
  4. Step 4: Simplify right side
    188,034.75x = 84,847,606,617.52
  5. Step 5: Solve for x
    x = 84,847,606,617.52/188,034.75
  6. Step 6: Final answer
    x = 451,233.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.