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Finding the Third Proportional to 230,050.25 and 471,255.75

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Solution

The third proportional to 230,050.25 and 471,255.75 is: 965,362.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,050.25 : 471,255.75 = 471,255.75 : x
  2. Step 2: Convert to fraction form
    230,050.25/471,255.75 = 471,255.75/x
  3. Step 3: Cross multiply
    230,050.25x = 471,255.75 × 471,255.75
  4. Step 4: Simplify right side
    230,050.25x = 222,081,981,908.06
  5. Step 5: Solve for x
    x = 222,081,981,908.06/230,050.25
  6. Step 6: Final answer
    x = 965,362.92

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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.