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Finding the Third Proportional to 135,938 and 299,524

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Solution

The third proportional to 135,938 and 299,524 is: 659,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,938 : 299,524 = 299,524 : x
  2. Step 2: Convert to fraction form
    135,938/299,524 = 299,524/x
  3. Step 3: Cross multiply
    135,938x = 299,524 × 299,524
  4. Step 4: Simplify right side
    135,938x = 89,714,626,576
  5. Step 5: Solve for x
    x = 89,714,626,576/135,938
  6. Step 6: Final answer
    x = 659,967.24

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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.