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Finding the Third Proportional to 84,918 and 183,676

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Solution

The third proportional to 84,918 and 183,676 is: 397,287.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,918 : 183,676 = 183,676 : x
  2. Step 2: Convert to fraction form
    84,918/183,676 = 183,676/x
  3. Step 3: Cross multiply
    84,918x = 183,676 × 183,676
  4. Step 4: Simplify right side
    84,918x = 33,736,872,976
  5. Step 5: Solve for x
    x = 33,736,872,976/84,918
  6. Step 6: Final answer
    x = 397,287.65

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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.