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Finding the Third Proportional to 166,049 and 343,914

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Solution

The third proportional to 166,049 and 343,914 is: 712,300.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,049 : 343,914 = 343,914 : x
  2. Step 2: Convert to fraction form
    166,049/343,914 = 343,914/x
  3. Step 3: Cross multiply
    166,049x = 343,914 × 343,914
  4. Step 4: Simplify right side
    166,049x = 118,276,839,396
  5. Step 5: Solve for x
    x = 118,276,839,396/166,049
  6. Step 6: Final answer
    x = 712,300.82

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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.