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Finding the Third Proportional to 115,167 and 249,198

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Solution

The third proportional to 115,167 and 249,198 is: 539,213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,167 : 249,198 = 249,198 : x
  2. Step 2: Convert to fraction form
    115,167/249,198 = 249,198/x
  3. Step 3: Cross multiply
    115,167x = 249,198 × 249,198
  4. Step 4: Simplify right side
    115,167x = 62,099,643,204
  5. Step 5: Solve for x
    x = 62,099,643,204/115,167
  6. Step 6: Final answer
    x = 539,213.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.