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Finding the Third Proportional to 222,349.50 and 486,218.25

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Solution

The third proportional to 222,349.50 and 486,218.25 is: 1,063,227.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,349.50 : 486,218.25 = 486,218.25 : x
  2. Step 2: Convert to fraction form
    222,349.50/486,218.25 = 486,218.25/x
  3. Step 3: Cross multiply
    222,349.50x = 486,218.25 × 486,218.25
  4. Step 4: Simplify right side
    222,349.50x = 236,408,186,633.06
  5. Step 5: Solve for x
    x = 236,408,186,633.06/222,349.50
  6. Step 6: Final answer
    x = 1,063,227.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.