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Finding the Third Proportional to 207,087 and 318,198

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Solution

The third proportional to 207,087 and 318,198 is: 488,924.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,087 : 318,198 = 318,198 : x
  2. Step 2: Convert to fraction form
    207,087/318,198 = 318,198/x
  3. Step 3: Cross multiply
    207,087x = 318,198 × 318,198
  4. Step 4: Simplify right side
    207,087x = 101,249,967,204
  5. Step 5: Solve for x
    x = 101,249,967,204/207,087
  6. Step 6: Final answer
    x = 488,924.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.