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Finding the Third Proportional to 75,229 and 165,218

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Solution

The third proportional to 75,229 and 165,218 is: 362,851.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,229 : 165,218 = 165,218 : x
  2. Step 2: Convert to fraction form
    75,229/165,218 = 165,218/x
  3. Step 3: Cross multiply
    75,229x = 165,218 × 165,218
  4. Step 4: Simplify right side
    75,229x = 27,296,987,524
  5. Step 5: Solve for x
    x = 27,296,987,524/75,229
  6. Step 6: Final answer
    x = 362,851.93

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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.