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Finding the Third Proportional to 225.81 and 337.24

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Solution

The third proportional to 225.81 and 337.24 is: 503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.81 : 337.24 = 337.24 : x
  2. Step 2: Convert to fraction form
    225.81/337.24 = 337.24/x
  3. Step 3: Cross multiply
    225.81x = 337.24 × 337.24
  4. Step 4: Simplify right side
    225.81x = 113,728.34
  5. Step 5: Solve for x
    x = 113,728.34/225.81
  6. Step 6: Final answer
    x = 503.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.