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Finding the Third Proportional to 215,972.44 and 290,742.75

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Solution

The third proportional to 215,972.44 and 290,742.75 is: 391,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,972.44 : 290,742.75 = 290,742.75 : x
  2. Step 2: Convert to fraction form
    215,972.44/290,742.75 = 290,742.75/x
  3. Step 3: Cross multiply
    215,972.44x = 290,742.75 × 290,742.75
  4. Step 4: Simplify right side
    215,972.44x = 84,531,346,677.56
  5. Step 5: Solve for x
    x = 84,531,346,677.56/215,972.44
  6. Step 6: Final answer
    x = 391,398.77

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.