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Finding the Third Proportional to 232.66 and 343.59

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Solution

The third proportional to 232.66 and 343.59 is: 507.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.66 : 343.59 = 343.59 : x
  2. Step 2: Convert to fraction form
    232.66/343.59 = 343.59/x
  3. Step 3: Cross multiply
    232.66x = 343.59 × 343.59
  4. Step 4: Simplify right side
    232.66x = 118,052.39
  5. Step 5: Solve for x
    x = 118,052.39/232.66
  6. Step 6: Final answer
    x = 507.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.