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Finding the Third Proportional to 230,048.86 and 471,252.94

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Solution

The third proportional to 230,048.86 and 471,252.94 is: 965,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,048.86 : 471,252.94 = 471,252.94 : x
  2. Step 2: Convert to fraction form
    230,048.86/471,252.94 = 471,252.94/x
  3. Step 3: Cross multiply
    230,048.86x = 471,252.94 × 471,252.94
  4. Step 4: Simplify right side
    230,048.86x = 222,079,331,102.38
  5. Step 5: Solve for x
    x = 222,079,331,102.38/230,048.86
  6. Step 6: Final answer
    x = 965,357.24

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