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Finding the Third Proportional to 107,984 and 252,218

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Solution

The third proportional to 107,984 and 252,218 is: 589,105.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,984 : 252,218 = 252,218 : x
  2. Step 2: Convert to fraction form
    107,984/252,218 = 252,218/x
  3. Step 3: Cross multiply
    107,984x = 252,218 × 252,218
  4. Step 4: Simplify right side
    107,984x = 63,613,919,524
  5. Step 5: Solve for x
    x = 63,613,919,524/107,984
  6. Step 6: Final answer
    x = 589,105.05

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.