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Finding the Third Proportional to 73,360.69 and 160,739.44

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Solution

The third proportional to 73,360.69 and 160,739.44 is: 352,193.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,360.69 : 160,739.44 = 160,739.44 : x
  2. Step 2: Convert to fraction form
    73,360.69/160,739.44 = 160,739.44/x
  3. Step 3: Cross multiply
    73,360.69x = 160,739.44 × 160,739.44
  4. Step 4: Simplify right side
    73,360.69x = 25,837,166,767.82
  5. Step 5: Solve for x
    x = 25,837,166,767.82/73,360.69
  6. Step 6: Final answer
    x = 352,193.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.