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Finding the Third Proportional to 74.85 and 162.88

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Solution

The third proportional to 74.85 and 162.88 is: 354.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.85 : 162.88 = 162.88 : x
  2. Step 2: Convert to fraction form
    74.85/162.88 = 162.88/x
  3. Step 3: Cross multiply
    74.85x = 162.88 × 162.88
  4. Step 4: Simplify right side
    74.85x = 26,529.54
  5. Step 5: Solve for x
    x = 26,529.54/74.85
  6. Step 6: Final answer
    x = 354.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.