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Finding the Third Proportional to 165,717 and 259,233.75

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Solution

The third proportional to 165,717 and 259,233.75 is: 405,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,717 : 259,233.75 = 259,233.75 : x
  2. Step 2: Convert to fraction form
    165,717/259,233.75 = 259,233.75/x
  3. Step 3: Cross multiply
    165,717x = 259,233.75 × 259,233.75
  4. Step 4: Simplify right side
    165,717x = 67,202,137,139.06
  5. Step 5: Solve for x
    x = 67,202,137,139.06/165,717
  6. Step 6: Final answer
    x = 405,523.50

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.