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Finding the Third Proportional to 208,053 and 451,372

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Solution

The third proportional to 208,053 and 451,372 is: 979,253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,053 : 451,372 = 451,372 : x
  2. Step 2: Convert to fraction form
    208,053/451,372 = 451,372/x
  3. Step 3: Cross multiply
    208,053x = 451,372 × 451,372
  4. Step 4: Simplify right side
    208,053x = 203,736,682,384
  5. Step 5: Solve for x
    x = 203,736,682,384/208,053
  6. Step 6: Final answer
    x = 979,253.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.