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Finding the Third Proportional to 166,837 and 359,918

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Solution

The third proportional to 166,837 and 359,918 is: 776,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,837 : 359,918 = 359,918 : x
  2. Step 2: Convert to fraction form
    166,837/359,918 = 359,918/x
  3. Step 3: Cross multiply
    166,837x = 359,918 × 359,918
  4. Step 4: Simplify right side
    166,837x = 129,540,966,724
  5. Step 5: Solve for x
    x = 129,540,966,724/166,837
  6. Step 6: Final answer
    x = 776,452.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.