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Finding the Third Proportional to 184,747 and 277,941

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Solution

The third proportional to 184,747 and 277,941 is: 418,145.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,747 : 277,941 = 277,941 : x
  2. Step 2: Convert to fraction form
    184,747/277,941 = 277,941/x
  3. Step 3: Cross multiply
    184,747x = 277,941 × 277,941
  4. Step 4: Simplify right side
    184,747x = 77,251,199,481
  5. Step 5: Solve for x
    x = 77,251,199,481/184,747
  6. Step 6: Final answer
    x = 418,145.89

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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.