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Finding the Third Proportional to 86,290 and 184,577

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Solution

The third proportional to 86,290 and 184,577 is: 394,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,290 : 184,577 = 184,577 : x
  2. Step 2: Convert to fraction form
    86,290/184,577 = 184,577/x
  3. Step 3: Cross multiply
    86,290x = 184,577 × 184,577
  4. Step 4: Simplify right side
    86,290x = 34,068,668,929
  5. Step 5: Solve for x
    x = 34,068,668,929/86,290
  6. Step 6: Final answer
    x = 394,815.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.