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Finding the Third Proportional to 166,943 and 342,087

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Solution

The third proportional to 166,943 and 342,087 is: 700,978.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,943 : 342,087 = 342,087 : x
  2. Step 2: Convert to fraction form
    166,943/342,087 = 342,087/x
  3. Step 3: Cross multiply
    166,943x = 342,087 × 342,087
  4. Step 4: Simplify right side
    166,943x = 117,023,515,569
  5. Step 5: Solve for x
    x = 117,023,515,569/166,943
  6. Step 6: Final answer
    x = 700,978.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.