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Finding the Third Proportional to 149,948 and 225,910

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Solution

The third proportional to 149,948 and 225,910 is: 340,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,948 : 225,910 = 225,910 : x
  2. Step 2: Convert to fraction form
    149,948/225,910 = 225,910/x
  3. Step 3: Cross multiply
    149,948x = 225,910 × 225,910
  4. Step 4: Simplify right side
    149,948x = 51,035,328,100
  5. Step 5: Solve for x
    x = 51,035,328,100/149,948
  6. Step 6: Final answer
    x = 340,353.51

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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.