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Finding the Third Proportional to 232.31 and 347.91

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Solution

The third proportional to 232.31 and 347.91 is: 521.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.31 : 347.91 = 347.91 : x
  2. Step 2: Convert to fraction form
    232.31/347.91 = 347.91/x
  3. Step 3: Cross multiply
    232.31x = 347.91 × 347.91
  4. Step 4: Simplify right side
    232.31x = 121,038.76
  5. Step 5: Solve for x
    x = 121,038.76/232.31
  6. Step 6: Final answer
    x = 521.02

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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.