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Finding the Third Proportional to 208,836.56 and 313,718.06

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Solution

The third proportional to 208,836.56 and 313,718.06 is: 471,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,836.56 : 313,718.06 = 313,718.06 : x
  2. Step 2: Convert to fraction form
    208,836.56/313,718.06 = 313,718.06/x
  3. Step 3: Cross multiply
    208,836.56x = 313,718.06 × 313,718.06
  4. Step 4: Simplify right side
    208,836.56x = 98,419,022,738.75
  5. Step 5: Solve for x
    x = 98,419,022,738.75/208,836.56
  6. Step 6: Final answer
    x = 471,272.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.