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Finding the Third Proportional to 214,933.50 and 467,182.13

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Solution

The third proportional to 214,933.50 and 467,182.13 is: 1,015,472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,933.50 : 467,182.13 = 467,182.13 : x
  2. Step 2: Convert to fraction form
    214,933.50/467,182.13 = 467,182.13/x
  3. Step 3: Cross multiply
    214,933.50x = 467,182.13 × 467,182.13
  4. Step 4: Simplify right side
    214,933.50x = 218,259,137,919.52
  5. Step 5: Solve for x
    x = 218,259,137,919.52/214,933.50
  6. Step 6: Final answer
    x = 1,015,472.87

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.