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Finding the Third Proportional to 84,186.75 and 182,906

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Solution

The third proportional to 84,186.75 and 182,906 is: 397,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,186.75 : 182,906 = 182,906 : x
  2. Step 2: Convert to fraction form
    84,186.75/182,906 = 182,906/x
  3. Step 3: Cross multiply
    84,186.75x = 182,906 × 182,906
  4. Step 4: Simplify right side
    84,186.75x = 33,454,604,836
  5. Step 5: Solve for x
    x = 33,454,604,836/84,186.75
  6. Step 6: Final answer
    x = 397,385.63

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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.