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Finding the Third Proportional to 84,302 and 181,672

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Solution

The third proportional to 84,302 and 181,672 is: 391,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,302 : 181,672 = 181,672 : x
  2. Step 2: Convert to fraction form
    84,302/181,672 = 181,672/x
  3. Step 3: Cross multiply
    84,302x = 181,672 × 181,672
  4. Step 4: Simplify right side
    84,302x = 33,004,715,584
  5. Step 5: Solve for x
    x = 33,004,715,584/84,302
  6. Step 6: Final answer
    x = 391,505.72

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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.