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Finding the Third Proportional to 230.13 and 344.31

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Solution

The third proportional to 230.13 and 344.31 is: 515.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.13 : 344.31 = 344.31 : x
  2. Step 2: Convert to fraction form
    230.13/344.31 = 344.31/x
  3. Step 3: Cross multiply
    230.13x = 344.31 × 344.31
  4. Step 4: Simplify right side
    230.13x = 118,551.10
  5. Step 5: Solve for x
    x = 118,551.10/230.13
  6. Step 6: Final answer
    x = 515.16

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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.