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Finding the Third Proportional to 84,184 and 177,858

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Solution

The third proportional to 84,184 and 177,858 is: 375,765.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,184 : 177,858 = 177,858 : x
  2. Step 2: Convert to fraction form
    84,184/177,858 = 177,858/x
  3. Step 3: Cross multiply
    84,184x = 177,858 × 177,858
  4. Step 4: Simplify right side
    84,184x = 31,633,468,164
  5. Step 5: Solve for x
    x = 31,633,468,164/84,184
  6. Step 6: Final answer
    x = 375,765.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.