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Finding the Third Proportional to 166,483 and 366,895

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Solution

The third proportional to 166,483 and 366,895 is: 808,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,483 : 366,895 = 366,895 : x
  2. Step 2: Convert to fraction form
    166,483/366,895 = 366,895/x
  3. Step 3: Cross multiply
    166,483x = 366,895 × 366,895
  4. Step 4: Simplify right side
    166,483x = 134,611,941,025
  5. Step 5: Solve for x
    x = 134,611,941,025/166,483
  6. Step 6: Final answer
    x = 808,562.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.