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Finding the Third Proportional to 184,986 and 278,329

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Solution

The third proportional to 184,986 and 278,329 is: 418,772.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,986 : 278,329 = 278,329 : x
  2. Step 2: Convert to fraction form
    184,986/278,329 = 278,329/x
  3. Step 3: Cross multiply
    184,986x = 278,329 × 278,329
  4. Step 4: Simplify right side
    184,986x = 77,467,032,241
  5. Step 5: Solve for x
    x = 77,467,032,241/184,986
  6. Step 6: Final answer
    x = 418,772.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.