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Finding the Third Proportional to 166,047 and 343,910

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Solution

The third proportional to 166,047 and 343,910 is: 712,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,047 : 343,910 = 343,910 : x
  2. Step 2: Convert to fraction form
    166,047/343,910 = 343,910/x
  3. Step 3: Cross multiply
    166,047x = 343,910 × 343,910
  4. Step 4: Simplify right side
    166,047x = 118,274,088,100
  5. Step 5: Solve for x
    x = 118,274,088,100/166,047
  6. Step 6: Final answer
    x = 712,292.83

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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.