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Finding the Third Proportional to 165,998 and 356,186

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Solution

The third proportional to 165,998 and 356,186 is: 764,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,998 : 356,186 = 356,186 : x
  2. Step 2: Convert to fraction form
    165,998/356,186 = 356,186/x
  3. Step 3: Cross multiply
    165,998x = 356,186 × 356,186
  4. Step 4: Simplify right side
    165,998x = 126,868,466,596
  5. Step 5: Solve for x
    x = 126,868,466,596/165,998
  6. Step 6: Final answer
    x = 764,277.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.