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Finding the Third Proportional to 232.88 and 341.72

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Solution

The third proportional to 232.88 and 341.72 is: 501.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 341.72 = 341.72 : x
  2. Step 2: Convert to fraction form
    232.88/341.72 = 341.72/x
  3. Step 3: Cross multiply
    232.88x = 341.72 × 341.72
  4. Step 4: Simplify right side
    232.88x = 116,771.70
  5. Step 5: Solve for x
    x = 116,771.70/232.88
  6. Step 6: Final answer
    x = 501.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.