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Finding the Third Proportional to 166,050 and 359,991

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Solution

The third proportional to 166,050 and 359,991 is: 780,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,050 : 359,991 = 359,991 : x
  2. Step 2: Convert to fraction form
    166,050/359,991 = 359,991/x
  3. Step 3: Cross multiply
    166,050x = 359,991 × 359,991
  4. Step 4: Simplify right side
    166,050x = 129,593,520,081
  5. Step 5: Solve for x
    x = 129,593,520,081/166,050
  6. Step 6: Final answer
    x = 780,448.78

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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.