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Finding the Third Proportional to 229.08 and 321.84

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Solution

The third proportional to 229.08 and 321.84 is: 452.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 321.84 = 321.84 : x
  2. Step 2: Convert to fraction form
    229.08/321.84 = 321.84/x
  3. Step 3: Cross multiply
    229.08x = 321.84 × 321.84
  4. Step 4: Simplify right side
    229.08x = 103,579.63
  5. Step 5: Solve for x
    x = 103,579.63/229.08
  6. Step 6: Final answer
    x = 452.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.