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Finding the Third Proportional to 181,233.75 and 426,448.88

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Solution

The third proportional to 181,233.75 and 426,448.88 is: 1,003,447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,233.75 : 426,448.88 = 426,448.88 : x
  2. Step 2: Convert to fraction form
    181,233.75/426,448.88 = 426,448.88/x
  3. Step 3: Cross multiply
    181,233.75x = 426,448.88 × 426,448.88
  4. Step 4: Simplify right side
    181,233.75x = 181,858,642,988.77
  5. Step 5: Solve for x
    x = 181,858,642,988.77/181,233.75
  6. Step 6: Final answer
    x = 1,003,447.99

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.