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Finding the Third Proportional to 234,022.50 and 479,135.25

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Solution

The third proportional to 234,022.50 and 479,135.25 is: 980,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,022.50 : 479,135.25 = 479,135.25 : x
  2. Step 2: Convert to fraction form
    234,022.50/479,135.25 = 479,135.25/x
  3. Step 3: Cross multiply
    234,022.50x = 479,135.25 × 479,135.25
  4. Step 4: Simplify right side
    234,022.50x = 229,570,587,792.56
  5. Step 5: Solve for x
    x = 229,570,587,792.56/234,022.50
  6. Step 6: Final answer
    x = 980,976.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.