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Finding the Third Proportional to 84,224 and 181,806

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Solution

The third proportional to 84,224 and 181,806 is: 392,446.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,224 : 181,806 = 181,806 : x
  2. Step 2: Convert to fraction form
    84,224/181,806 = 181,806/x
  3. Step 3: Cross multiply
    84,224x = 181,806 × 181,806
  4. Step 4: Simplify right side
    84,224x = 33,053,421,636
  5. Step 5: Solve for x
    x = 33,053,421,636/84,224
  6. Step 6: Final answer
    x = 392,446.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.