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Finding the Third Proportional to 166,048 and 343,911

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Solution

The third proportional to 166,048 and 343,911 is: 712,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,048 : 343,911 = 343,911 : x
  2. Step 2: Convert to fraction form
    166,048/343,911 = 343,911/x
  3. Step 3: Cross multiply
    166,048x = 343,911 × 343,911
  4. Step 4: Simplify right side
    166,048x = 118,274,775,921
  5. Step 5: Solve for x
    x = 118,274,775,921/166,048
  6. Step 6: Final answer
    x = 712,292.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.