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Finding the Third Proportional to 73,222.73 and 158,656.22

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Solution

The third proportional to 73,222.73 and 158,656.22 is: 343,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,222.73 : 158,656.22 = 158,656.22 : x
  2. Step 2: Convert to fraction form
    73,222.73/158,656.22 = 158,656.22/x
  3. Step 3: Cross multiply
    73,222.73x = 158,656.22 × 158,656.22
  4. Step 4: Simplify right side
    73,222.73x = 25,171,795,748.05
  5. Step 5: Solve for x
    x = 25,171,795,748.05/73,222.73
  6. Step 6: Final answer
    x = 343,770.22

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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.