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Finding the Third Proportional to 114,264.75 and 247,596.75

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Solution

The third proportional to 114,264.75 and 247,596.75 is: 536,509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264.75 : 247,596.75 = 247,596.75 : x
  2. Step 2: Convert to fraction form
    114,264.75/247,596.75 = 247,596.75/x
  3. Step 3: Cross multiply
    114,264.75x = 247,596.75 × 247,596.75
  4. Step 4: Simplify right side
    114,264.75x = 61,304,150,610.56
  5. Step 5: Solve for x
    x = 61,304,150,610.56/114,264.75
  6. Step 6: Final answer
    x = 536,509.73

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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.