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Finding the Third Proportional to 166,069 and 343,948

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Solution

The third proportional to 166,069 and 343,948 is: 712,355.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,069 : 343,948 = 343,948 : x
  2. Step 2: Convert to fraction form
    166,069/343,948 = 343,948/x
  3. Step 3: Cross multiply
    166,069x = 343,948 × 343,948
  4. Step 4: Simplify right side
    166,069x = 118,300,226,704
  5. Step 5: Solve for x
    x = 118,300,226,704/166,069
  6. Step 6: Final answer
    x = 712,355.87

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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.