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Finding the Third Proportional to 149,726 and 225,197

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Solution

The third proportional to 149,726 and 225,197 is: 338,709.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 225,197 = 225,197 : x
  2. Step 2: Convert to fraction form
    149,726/225,197 = 225,197/x
  3. Step 3: Cross multiply
    149,726x = 225,197 × 225,197
  4. Step 4: Simplify right side
    149,726x = 50,713,688,809
  5. Step 5: Solve for x
    x = 50,713,688,809/149,726
  6. Step 6: Final answer
    x = 338,709.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.