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Finding the Third Proportional to 179,226.75 and 374,138.25

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Solution

The third proportional to 179,226.75 and 374,138.25 is: 781,018.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,226.75 : 374,138.25 = 374,138.25 : x
  2. Step 2: Convert to fraction form
    179,226.75/374,138.25 = 374,138.25/x
  3. Step 3: Cross multiply
    179,226.75x = 374,138.25 × 374,138.25
  4. Step 4: Simplify right side
    179,226.75x = 139,979,430,113.06
  5. Step 5: Solve for x
    x = 139,979,430,113.06/179,226.75
  6. Step 6: Final answer
    x = 781,018.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.