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Finding the Third Proportional to 115,834.13 and 184,992.38

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Solution

The third proportional to 115,834.13 and 184,992.38 is: 295,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,834.13 : 184,992.38 = 184,992.38 : x
  2. Step 2: Convert to fraction form
    115,834.13/184,992.38 = 184,992.38/x
  3. Step 3: Cross multiply
    115,834.13x = 184,992.38 × 184,992.38
  4. Step 4: Simplify right side
    115,834.13x = 34,222,178,808.14
  5. Step 5: Solve for x
    x = 34,222,178,808.14/115,834.13
  6. Step 6: Final answer
    x = 295,441.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.