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Finding the Third Proportional to 166,776 and 340,344

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Solution

The third proportional to 166,776 and 340,344 is: 694,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,776 : 340,344 = 340,344 : x
  2. Step 2: Convert to fraction form
    166,776/340,344 = 340,344/x
  3. Step 3: Cross multiply
    166,776x = 340,344 × 340,344
  4. Step 4: Simplify right side
    166,776x = 115,834,038,336
  5. Step 5: Solve for x
    x = 115,834,038,336/166,776
  6. Step 6: Final answer
    x = 694,548.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.