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Finding the Third Proportional to 86,164 and 184,808

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Solution

The third proportional to 86,164 and 184,808 is: 396,383.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,164 : 184,808 = 184,808 : x
  2. Step 2: Convert to fraction form
    86,164/184,808 = 184,808/x
  3. Step 3: Cross multiply
    86,164x = 184,808 × 184,808
  4. Step 4: Simplify right side
    86,164x = 34,153,996,864
  5. Step 5: Solve for x
    x = 34,153,996,864/86,164
  6. Step 6: Final answer
    x = 396,383.60

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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.