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Finding the Third Proportional to 84,932 and 184,632

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Solution

The third proportional to 84,932 and 184,632 is: 401,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,932 : 184,632 = 184,632 : x
  2. Step 2: Convert to fraction form
    84,932/184,632 = 184,632/x
  3. Step 3: Cross multiply
    84,932x = 184,632 × 184,632
  4. Step 4: Simplify right side
    84,932x = 34,088,975,424
  5. Step 5: Solve for x
    x = 34,088,975,424/84,932
  6. Step 6: Final answer
    x = 401,367.86

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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.