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Finding the Third Proportional to 203,207 and 301,866

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Solution

The third proportional to 203,207 and 301,866 is: 448,424.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,207 : 301,866 = 301,866 : x
  2. Step 2: Convert to fraction form
    203,207/301,866 = 301,866/x
  3. Step 3: Cross multiply
    203,207x = 301,866 × 301,866
  4. Step 4: Simplify right side
    203,207x = 91,123,081,956
  5. Step 5: Solve for x
    x = 91,123,081,956/203,207
  6. Step 6: Final answer
    x = 448,424.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.