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Finding the Third Proportional to 83,895 and 184,368

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Solution

The third proportional to 83,895 and 184,368 is: 405,167.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,895 : 184,368 = 184,368 : x
  2. Step 2: Convert to fraction form
    83,895/184,368 = 184,368/x
  3. Step 3: Cross multiply
    83,895x = 184,368 × 184,368
  4. Step 4: Simplify right side
    83,895x = 33,991,559,424
  5. Step 5: Solve for x
    x = 33,991,559,424/83,895
  6. Step 6: Final answer
    x = 405,167.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.