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Finding the Third Proportional to 114,976.13 and 247,433.06

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Solution

The third proportional to 114,976.13 and 247,433.06 is: 532,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,976.13 : 247,433.06 = 247,433.06 : x
  2. Step 2: Convert to fraction form
    114,976.13/247,433.06 = 247,433.06/x
  3. Step 3: Cross multiply
    114,976.13x = 247,433.06 × 247,433.06
  4. Step 4: Simplify right side
    114,976.13x = 61,223,120,418.13
  5. Step 5: Solve for x
    x = 61,223,120,418.13/114,976.13
  6. Step 6: Final answer
    x = 532,485.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.