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Finding the Third Proportional to 135,496 and 296,824

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Solution

The third proportional to 135,496 and 296,824 is: 650,236.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,496 : 296,824 = 296,824 : x
  2. Step 2: Convert to fraction form
    135,496/296,824 = 296,824/x
  3. Step 3: Cross multiply
    135,496x = 296,824 × 296,824
  4. Step 4: Simplify right side
    135,496x = 88,104,486,976
  5. Step 5: Solve for x
    x = 88,104,486,976/135,496
  6. Step 6: Final answer
    x = 650,236.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.