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Finding the Third Proportional to 149,224 and 225,277

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Solution

The third proportional to 149,224 and 225,277 is: 340,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,224 : 225,277 = 225,277 : x
  2. Step 2: Convert to fraction form
    149,224/225,277 = 225,277/x
  3. Step 3: Cross multiply
    149,224x = 225,277 × 225,277
  4. Step 4: Simplify right side
    149,224x = 50,749,726,729
  5. Step 5: Solve for x
    x = 50,749,726,729/149,224
  6. Step 6: Final answer
    x = 340,090.92

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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.