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Finding the Third Proportional to 226,326.38 and 471,242.25

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Solution

The third proportional to 226,326.38 and 471,242.25 is: 981,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,326.38 : 471,242.25 = 471,242.25 : x
  2. Step 2: Convert to fraction form
    226,326.38/471,242.25 = 471,242.25/x
  3. Step 3: Cross multiply
    226,326.38x = 471,242.25 × 471,242.25
  4. Step 4: Simplify right side
    226,326.38x = 222,069,258,185.06
  5. Step 5: Solve for x
    x = 222,069,258,185.06/226,326.38
  6. Step 6: Final answer
    x = 981,190.36

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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.