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Finding the Third Proportional to 230.42 and 345.65

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Solution

The third proportional to 230.42 and 345.65 is: 518.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.42 : 345.65 = 345.65 : x
  2. Step 2: Convert to fraction form
    230.42/345.65 = 345.65/x
  3. Step 3: Cross multiply
    230.42x = 345.65 × 345.65
  4. Step 4: Simplify right side
    230.42x = 119,476.72
  5. Step 5: Solve for x
    x = 119,476.72/230.42
  6. Step 6: Final answer
    x = 518.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.