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Finding the Third Proportional to 212,473.13 and 331,634.25

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Solution

The third proportional to 212,473.13 and 331,634.25 is: 517,624.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,473.13 : 331,634.25 = 331,634.25 : x
  2. Step 2: Convert to fraction form
    212,473.13/331,634.25 = 331,634.25/x
  3. Step 3: Cross multiply
    212,473.13x = 331,634.25 × 331,634.25
  4. Step 4: Simplify right side
    212,473.13x = 109,981,275,773.06
  5. Step 5: Solve for x
    x = 109,981,275,773.06/212,473.13
  6. Step 6: Final answer
    x = 517,624.41

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.