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Finding the Third Proportional to 212,754 and 454,100

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Solution

The third proportional to 212,754 and 454,100 is: 969,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,754 : 454,100 = 454,100 : x
  2. Step 2: Convert to fraction form
    212,754/454,100 = 454,100/x
  3. Step 3: Cross multiply
    212,754x = 454,100 × 454,100
  4. Step 4: Simplify right side
    212,754x = 206,206,810,000
  5. Step 5: Solve for x
    x = 206,206,810,000/212,754
  6. Step 6: Final answer
    x = 969,226.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.