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Finding the Third Proportional to 184,983.75 and 278,326.13

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Solution

The third proportional to 184,983.75 and 278,326.13 is: 418,768.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,983.75 : 278,326.13 = 278,326.13 : x
  2. Step 2: Convert to fraction form
    184,983.75/278,326.13 = 278,326.13/x
  3. Step 3: Cross multiply
    184,983.75x = 278,326.13 × 278,326.13
  4. Step 4: Simplify right side
    184,983.75x = 77,465,431,857.52
  5. Step 5: Solve for x
    x = 77,465,431,857.52/184,983.75
  6. Step 6: Final answer
    x = 418,768.85

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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.