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Finding the Third Proportional to 166,026 and 366,938

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Solution

The third proportional to 166,026 and 366,938 is: 810,978.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,026 : 366,938 = 366,938 : x
  2. Step 2: Convert to fraction form
    166,026/366,938 = 366,938/x
  3. Step 3: Cross multiply
    166,026x = 366,938 × 366,938
  4. Step 4: Simplify right side
    166,026x = 134,643,495,844
  5. Step 5: Solve for x
    x = 134,643,495,844/166,026
  6. Step 6: Final answer
    x = 810,978.38

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.