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Finding the Third Proportional to 166,023 and 249,198

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Solution

The third proportional to 166,023 and 249,198 is: 374,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,023 : 249,198 = 249,198 : x
  2. Step 2: Convert to fraction form
    166,023/249,198 = 249,198/x
  3. Step 3: Cross multiply
    166,023x = 249,198 × 249,198
  4. Step 4: Simplify right side
    166,023x = 62,099,643,204
  5. Step 5: Solve for x
    x = 62,099,643,204/166,023
  6. Step 6: Final answer
    x = 374,042.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.