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Finding the Third Proportional to 162.25 and 240.88

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Solution

The third proportional to 162.25 and 240.88 is: 357.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    162.25 : 240.88 = 240.88 : x
  2. Step 2: Convert to fraction form
    162.25/240.88 = 240.88/x
  3. Step 3: Cross multiply
    162.25x = 240.88 × 240.88
  4. Step 4: Simplify right side
    162.25x = 58,020.77
  5. Step 5: Solve for x
    x = 58,020.77/162.25
  6. Step 6: Final answer
    x = 357.60

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.