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Finding the Third Proportional to 84,932 and 184,630

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Solution

The third proportional to 84,932 and 184,630 is: 401,359.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,932 : 184,630 = 184,630 : x
  2. Step 2: Convert to fraction form
    84,932/184,630 = 184,630/x
  3. Step 3: Cross multiply
    84,932x = 184,630 × 184,630
  4. Step 4: Simplify right side
    84,932x = 34,088,236,900
  5. Step 5: Solve for x
    x = 34,088,236,900/84,932
  6. Step 6: Final answer
    x = 401,359.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.