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Finding the Third Proportional to 180,203.17 and 396,377.93

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Solution

The third proportional to 180,203.17 and 396,377.93 is: 871,879.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,203.17 : 396,377.93 = 396,377.93 : x
  2. Step 2: Convert to fraction form
    180,203.17/396,377.93 = 396,377.93/x
  3. Step 3: Cross multiply
    180,203.17x = 396,377.93 × 396,377.93
  4. Step 4: Simplify right side
    180,203.17x = 157,115,463,143.35
  5. Step 5: Solve for x
    x = 157,115,463,143.35/180,203.17
  6. Step 6: Final answer
    x = 871,879.58

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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.