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Finding the Third Proportional to 230.13 and 412.59

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Solution

The third proportional to 230.13 and 412.59 is: 739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 412.59 = 412.59 : x
  2. Step 2: Convert to fraction form
    230.13/412.59 = 412.59/x
  3. Step 3: Cross multiply
    230.13x = 412.59 × 412.59
  4. Step 4: Simplify right side
    230.13x = 170,233.60
  5. Step 5: Solve for x
    x = 170,233.60/230.13
  6. Step 6: Final answer
    x = 739.72

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.