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Finding the Third Proportional to 184,398.75 and 275,419.13

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Solution

The third proportional to 184,398.75 and 275,419.13 is: 411,367.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,398.75 : 275,419.13 = 275,419.13 : x
  2. Step 2: Convert to fraction form
    184,398.75/275,419.13 = 275,419.13/x
  3. Step 3: Cross multiply
    184,398.75x = 275,419.13 × 275,419.13
  4. Step 4: Simplify right side
    184,398.75x = 75,855,694,415.77
  5. Step 5: Solve for x
    x = 75,855,694,415.77/184,398.75
  6. Step 6: Final answer
    x = 411,367.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.