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Finding the Third Proportional to 72,794.25 and 160,249.50

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Solution

The third proportional to 72,794.25 and 160,249.50 is: 352,773.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,794.25 : 160,249.50 = 160,249.50 : x
  2. Step 2: Convert to fraction form
    72,794.25/160,249.50 = 160,249.50/x
  3. Step 3: Cross multiply
    72,794.25x = 160,249.50 × 160,249.50
  4. Step 4: Simplify right side
    72,794.25x = 25,679,902,250.25
  5. Step 5: Solve for x
    x = 25,679,902,250.25/72,794.25
  6. Step 6: Final answer
    x = 352,773.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.