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Finding the Third Proportional to 149,218 and 225,267

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Solution

The third proportional to 149,218 and 225,267 is: 340,074.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,218 : 225,267 = 225,267 : x
  2. Step 2: Convert to fraction form
    149,218/225,267 = 225,267/x
  3. Step 3: Cross multiply
    149,218x = 225,267 × 225,267
  4. Step 4: Simplify right side
    149,218x = 50,745,221,289
  5. Step 5: Solve for x
    x = 50,745,221,289/149,218
  6. Step 6: Final answer
    x = 340,074.40

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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.