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Finding the Third Proportional to 230.63 and 345.38

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Solution

The third proportional to 230.63 and 345.38 is: 517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.63 : 345.38 = 345.38 : x
  2. Step 2: Convert to fraction form
    230.63/345.38 = 345.38/x
  3. Step 3: Cross multiply
    230.63x = 345.38 × 345.38
  4. Step 4: Simplify right side
    230.63x = 119,283.89
  5. Step 5: Solve for x
    x = 119,283.89/230.63
  6. Step 6: Final answer
    x = 517.22

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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.