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Finding the Third Proportional to 223.66 and 335.53

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Solution

The third proportional to 223.66 and 335.53 is: 503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.66 : 335.53 = 335.53 : x
  2. Step 2: Convert to fraction form
    223.66/335.53 = 335.53/x
  3. Step 3: Cross multiply
    223.66x = 335.53 × 335.53
  4. Step 4: Simplify right side
    223.66x = 112,581.22
  5. Step 5: Solve for x
    x = 112,581.22/223.66
  6. Step 6: Final answer
    x = 503.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.