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Finding the Third Proportional to 118,894.13 and 184,308.38

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Solution

The third proportional to 118,894.13 and 184,308.38 is: 285,712.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,894.13 : 184,308.38 = 184,308.38 : x
  2. Step 2: Convert to fraction form
    118,894.13/184,308.38 = 184,308.38/x
  3. Step 3: Cross multiply
    118,894.13x = 184,308.38 × 184,308.38
  4. Step 4: Simplify right side
    118,894.13x = 33,969,577,095.14
  5. Step 5: Solve for x
    x = 33,969,577,095.14/118,894.13
  6. Step 6: Final answer
    x = 285,712.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.