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Finding the Third Proportional to 226,735.50 and 338,919

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Solution

The third proportional to 226,735.50 and 338,919 is: 506,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,735.50 : 338,919 = 338,919 : x
  2. Step 2: Convert to fraction form
    226,735.50/338,919 = 338,919/x
  3. Step 3: Cross multiply
    226,735.50x = 338,919 × 338,919
  4. Step 4: Simplify right side
    226,735.50x = 114,866,088,561
  5. Step 5: Solve for x
    x = 114,866,088,561/226,735.50
  6. Step 6: Final answer
    x = 506,608.31

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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.