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Finding the Third Proportional to 240,100 and 515,191

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Solution

The third proportional to 240,100 and 515,191 is: 1,105,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,100 : 515,191 = 515,191 : x
  2. Step 2: Convert to fraction form
    240,100/515,191 = 515,191/x
  3. Step 3: Cross multiply
    240,100x = 515,191 × 515,191
  4. Step 4: Simplify right side
    240,100x = 265,421,766,481
  5. Step 5: Solve for x
    x = 265,421,766,481/240,100
  6. Step 6: Final answer
    x = 1,105,463.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.