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Finding the Third Proportional to 232.78 and 358.78

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Solution

The third proportional to 232.78 and 358.78 is: 552.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.78 : 358.78 = 358.78 : x
  2. Step 2: Convert to fraction form
    232.78/358.78 = 358.78/x
  3. Step 3: Cross multiply
    232.78x = 358.78 × 358.78
  4. Step 4: Simplify right side
    232.78x = 128,723.99
  5. Step 5: Solve for x
    x = 128,723.99/232.78
  6. Step 6: Final answer
    x = 552.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.