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Finding the Third Proportional to 102,317.25 and 241,191

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Solution

The third proportional to 102,317.25 and 241,191 is: 568,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,317.25 : 241,191 = 241,191 : x
  2. Step 2: Convert to fraction form
    102,317.25/241,191 = 241,191/x
  3. Step 3: Cross multiply
    102,317.25x = 241,191 × 241,191
  4. Step 4: Simplify right side
    102,317.25x = 58,173,098,481
  5. Step 5: Solve for x
    x = 58,173,098,481/102,317.25
  6. Step 6: Final answer
    x = 568,556.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.