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Finding the Third Proportional to 149,682.94 and 226,073.53

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Solution

The third proportional to 149,682.94 and 226,073.53 is: 341,450.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,682.94 : 226,073.53 = 226,073.53 : x
  2. Step 2: Convert to fraction form
    149,682.94/226,073.53 = 226,073.53/x
  3. Step 3: Cross multiply
    149,682.94x = 226,073.53 × 226,073.53
  4. Step 4: Simplify right side
    149,682.94x = 51,109,241,531.84
  5. Step 5: Solve for x
    x = 51,109,241,531.84/149,682.94
  6. Step 6: Final answer
    x = 341,450.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.