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Finding the Third Proportional to 116,826 and 165,307

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Solution

The third proportional to 116,826 and 165,307 is: 233,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,826 : 165,307 = 165,307 : x
  2. Step 2: Convert to fraction form
    116,826/165,307 = 165,307/x
  3. Step 3: Cross multiply
    116,826x = 165,307 × 165,307
  4. Step 4: Simplify right side
    116,826x = 27,326,404,249
  5. Step 5: Solve for x
    x = 27,326,404,249/116,826
  6. Step 6: Final answer
    x = 233,906.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.