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Finding the Third Proportional to 166,302 and 261,069

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Solution

The third proportional to 166,302 and 261,069 is: 409,838.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,302 : 261,069 = 261,069 : x
  2. Step 2: Convert to fraction form
    166,302/261,069 = 261,069/x
  3. Step 3: Cross multiply
    166,302x = 261,069 × 261,069
  4. Step 4: Simplify right side
    166,302x = 68,157,022,761
  5. Step 5: Solve for x
    x = 68,157,022,761/166,302
  6. Step 6: Final answer
    x = 409,838.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.