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Finding the Third Proportional to 218,419 and 467,198.25

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Solution

The third proportional to 218,419 and 467,198.25 is: 999,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,419 : 467,198.25 = 467,198.25 : x
  2. Step 2: Convert to fraction form
    218,419/467,198.25 = 467,198.25/x
  3. Step 3: Cross multiply
    218,419x = 467,198.25 × 467,198.25
  4. Step 4: Simplify right side
    218,419x = 218,274,204,803.06
  5. Step 5: Solve for x
    x = 218,274,204,803.06/218,419
  6. Step 6: Final answer
    x = 999,337.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.