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Finding the Third Proportional to 166,614 and 362,778

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Solution

The third proportional to 166,614 and 362,778 is: 789,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,614 : 362,778 = 362,778 : x
  2. Step 2: Convert to fraction form
    166,614/362,778 = 362,778/x
  3. Step 3: Cross multiply
    166,614x = 362,778 × 362,778
  4. Step 4: Simplify right side
    166,614x = 131,607,877,284
  5. Step 5: Solve for x
    x = 131,607,877,284/166,614
  6. Step 6: Final answer
    x = 789,896.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.