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Finding the Third Proportional to 166,846 and 366,938

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Solution

The third proportional to 166,846 and 366,938 is: 806,992.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,846 : 366,938 = 366,938 : x
  2. Step 2: Convert to fraction form
    166,846/366,938 = 366,938/x
  3. Step 3: Cross multiply
    166,846x = 366,938 × 366,938
  4. Step 4: Simplify right side
    166,846x = 134,643,495,844
  5. Step 5: Solve for x
    x = 134,643,495,844/166,846
  6. Step 6: Final answer
    x = 806,992.65

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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.