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Finding the Third Proportional to 178.31 and 383.91

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Solution

The third proportional to 178.31 and 383.91 is: 826.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.31 : 383.91 = 383.91 : x
  2. Step 2: Convert to fraction form
    178.31/383.91 = 383.91/x
  3. Step 3: Cross multiply
    178.31x = 383.91 × 383.91
  4. Step 4: Simplify right side
    178.31x = 147,384.01
  5. Step 5: Solve for x
    x = 147,384.01/178.31
  6. Step 6: Final answer
    x = 826.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.