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Finding the Third Proportional to 220 and 320.25

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Solution

The third proportional to 220 and 320.25 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220 : 320.25 = 320.25 : x
  2. Step 2: Convert to fraction form
    220/320.25 = 320.25/x
  3. Step 3: Cross multiply
    220x = 320.25 × 320.25
  4. Step 4: Simplify right side
    220x = 102,560.06
  5. Step 5: Solve for x
    x = 102,560.06/220
  6. Step 6: Final answer
    x = 466.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.