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Finding the Third Proportional to 232.59 and 307.41

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Solution

The third proportional to 232.59 and 307.41 is: 406.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.59 : 307.41 = 307.41 : x
  2. Step 2: Convert to fraction form
    232.59/307.41 = 307.41/x
  3. Step 3: Cross multiply
    232.59x = 307.41 × 307.41
  4. Step 4: Simplify right side
    232.59x = 94,498.60
  5. Step 5: Solve for x
    x = 94,498.60/232.59
  6. Step 6: Final answer
    x = 406.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.