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Finding the Third Proportional to 78 and 166.50

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Solution

The third proportional to 78 and 166.50 is: 355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78 : 166.50 = 166.50 : x
  2. Step 2: Convert to fraction form
    78/166.50 = 166.50/x
  3. Step 3: Cross multiply
    78x = 166.50 × 166.50
  4. Step 4: Simplify right side
    78x = 27,722.25
  5. Step 5: Solve for x
    x = 27,722.25/78
  6. Step 6: Final answer
    x = 355.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.