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Finding the Third Proportional to 226,280.25 and 471,331.69

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Solution

The third proportional to 226,280.25 and 471,331.69 is: 981,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,280.25 : 471,331.69 = 471,331.69 : x
  2. Step 2: Convert to fraction form
    226,280.25/471,331.69 = 471,331.69/x
  3. Step 3: Cross multiply
    226,280.25x = 471,331.69 × 471,331.69
  4. Step 4: Simplify right side
    226,280.25x = 222,153,559,641.60
  5. Step 5: Solve for x
    x = 222,153,559,641.60/226,280.25
  6. Step 6: Final answer
    x = 981,762.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.