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Finding the Third Proportional to 113,975.25 and 247,269

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Solution

The third proportional to 113,975.25 and 247,269 is: 536,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,975.25 : 247,269 = 247,269 : x
  2. Step 2: Convert to fraction form
    113,975.25/247,269 = 247,269/x
  3. Step 3: Cross multiply
    113,975.25x = 247,269 × 247,269
  4. Step 4: Simplify right side
    113,975.25x = 61,141,958,361
  5. Step 5: Solve for x
    x = 61,141,958,361/113,975.25
  6. Step 6: Final answer
    x = 536,449.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.