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Finding the Third Proportional to 147,812 and 225,410

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Solution

The third proportional to 147,812 and 225,410 is: 343,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,812 : 225,410 = 225,410 : x
  2. Step 2: Convert to fraction form
    147,812/225,410 = 225,410/x
  3. Step 3: Cross multiply
    147,812x = 225,410 × 225,410
  4. Step 4: Simplify right side
    147,812x = 50,809,668,100
  5. Step 5: Solve for x
    x = 50,809,668,100/147,812
  6. Step 6: Final answer
    x = 343,745.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.