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Finding the Third Proportional to 226,729.50 and 338,910

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Solution

The third proportional to 226,729.50 and 338,910 is: 506,594.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,729.50 : 338,910 = 338,910 : x
  2. Step 2: Convert to fraction form
    226,729.50/338,910 = 338,910/x
  3. Step 3: Cross multiply
    226,729.50x = 338,910 × 338,910
  4. Step 4: Simplify right side
    226,729.50x = 114,859,988,100
  5. Step 5: Solve for x
    x = 114,859,988,100/226,729.50
  6. Step 6: Final answer
    x = 506,594.81

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