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Finding the Third Proportional to 149,880 and 225,810

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Solution

The third proportional to 149,880 and 225,810 is: 340,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,880 : 225,810 = 225,810 : x
  2. Step 2: Convert to fraction form
    149,880/225,810 = 225,810/x
  3. Step 3: Cross multiply
    149,880x = 225,810 × 225,810
  4. Step 4: Simplify right side
    149,880x = 50,990,156,100
  5. Step 5: Solve for x
    x = 50,990,156,100/149,880
  6. Step 6: Final answer
    x = 340,206.54

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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.