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Finding the Third Proportional to 245,884 and 367,251

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Solution

The third proportional to 245,884 and 367,251 is: 548,524.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,884 : 367,251 = 367,251 : x
  2. Step 2: Convert to fraction form
    245,884/367,251 = 367,251/x
  3. Step 3: Cross multiply
    245,884x = 367,251 × 367,251
  4. Step 4: Simplify right side
    245,884x = 134,873,297,001
  5. Step 5: Solve for x
    x = 134,873,297,001/245,884
  6. Step 6: Final answer
    x = 548,524.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.