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Finding the Third Proportional to 180,131.75 and 386,974.75

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Solution

The third proportional to 180,131.75 and 386,974.75 is: 831,332.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,131.75 : 386,974.75 = 386,974.75 : x
  2. Step 2: Convert to fraction form
    180,131.75/386,974.75 = 386,974.75/x
  3. Step 3: Cross multiply
    180,131.75x = 386,974.75 × 386,974.75
  4. Step 4: Simplify right side
    180,131.75x = 149,749,457,137.56
  5. Step 5: Solve for x
    x = 149,749,457,137.56/180,131.75
  6. Step 6: Final answer
    x = 831,332.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.