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Finding the Third Proportional to 268,163.16 and 397,606.22

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Solution

The third proportional to 268,163.16 and 397,606.22 is: 589,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,163.16 : 397,606.22 = 397,606.22 : x
  2. Step 2: Convert to fraction form
    268,163.16/397,606.22 = 397,606.22/x
  3. Step 3: Cross multiply
    268,163.16x = 397,606.22 × 397,606.22
  4. Step 4: Simplify right side
    268,163.16x = 158,090,705,188.67
  5. Step 5: Solve for x
    x = 158,090,705,188.67/268,163.16
  6. Step 6: Final answer
    x = 589,531.79

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.