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Finding the Third Proportional to 225,508 and 356,812

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Solution

The third proportional to 225,508 and 356,812 is: 564,568.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,508 : 356,812 = 356,812 : x
  2. Step 2: Convert to fraction form
    225,508/356,812 = 356,812/x
  3. Step 3: Cross multiply
    225,508x = 356,812 × 356,812
  4. Step 4: Simplify right side
    225,508x = 127,314,803,344
  5. Step 5: Solve for x
    x = 127,314,803,344/225,508
  6. Step 6: Final answer
    x = 564,568.90

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.