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Finding the Third Proportional to 166,884 and 347,574

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Solution

The third proportional to 166,884 and 347,574 is: 723,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,884 : 347,574 = 347,574 : x
  2. Step 2: Convert to fraction form
    166,884/347,574 = 347,574/x
  3. Step 3: Cross multiply
    166,884x = 347,574 × 347,574
  4. Step 4: Simplify right side
    166,884x = 120,807,685,476
  5. Step 5: Solve for x
    x = 120,807,685,476/166,884
  6. Step 6: Final answer
    x = 723,902.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.