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Finding the Third Proportional to 107,334 and 235,812

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Solution

The third proportional to 107,334 and 235,812 is: 518,077.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,334 : 235,812 = 235,812 : x
  2. Step 2: Convert to fraction form
    107,334/235,812 = 235,812/x
  3. Step 3: Cross multiply
    107,334x = 235,812 × 235,812
  4. Step 4: Simplify right side
    107,334x = 55,607,299,344
  5. Step 5: Solve for x
    x = 55,607,299,344/107,334
  6. Step 6: Final answer
    x = 518,077.21

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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.