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Finding the Third Proportional to 222.19 and 323.16

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Solution

The third proportional to 222.19 and 323.16 is: 470.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.19 : 323.16 = 323.16 : x
  2. Step 2: Convert to fraction form
    222.19/323.16 = 323.16/x
  3. Step 3: Cross multiply
    222.19x = 323.16 × 323.16
  4. Step 4: Simplify right side
    222.19x = 104,429.96
  5. Step 5: Solve for x
    x = 104,429.96/222.19
  6. Step 6: Final answer
    x = 470.01

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.