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Finding the Third Proportional to 232.78 and 266.53

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Solution

The third proportional to 232.78 and 266.53 is: 305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 266.53 = 266.53 : x
  2. Step 2: Convert to fraction form
    232.78/266.53 = 266.53/x
  3. Step 3: Cross multiply
    232.78x = 266.53 × 266.53
  4. Step 4: Simplify right side
    232.78x = 71,038.91
  5. Step 5: Solve for x
    x = 71,038.91/232.78
  6. Step 6: Final answer
    x = 305.17

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.