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Finding the Third Proportional to 86,816 and 184,294

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Solution

The third proportional to 86,816 and 184,294 is: 391,221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,816 : 184,294 = 184,294 : x
  2. Step 2: Convert to fraction form
    86,816/184,294 = 184,294/x
  3. Step 3: Cross multiply
    86,816x = 184,294 × 184,294
  4. Step 4: Simplify right side
    86,816x = 33,964,278,436
  5. Step 5: Solve for x
    x = 33,964,278,436/86,816
  6. Step 6: Final answer
    x = 391,221.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.