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Finding the Third Proportional to 230.38 and 406.75

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Solution

The third proportional to 230.38 and 406.75 is: 718.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.38 : 406.75 = 406.75 : x
  2. Step 2: Convert to fraction form
    230.38/406.75 = 406.75/x
  3. Step 3: Cross multiply
    230.38x = 406.75 × 406.75
  4. Step 4: Simplify right side
    230.38x = 165,445.56
  5. Step 5: Solve for x
    x = 165,445.56/230.38
  6. Step 6: Final answer
    x = 718.16

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.