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Finding the Third Proportional to 203,675 and 304,146

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Solution

The third proportional to 203,675 and 304,146 is: 454,178.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,675 : 304,146 = 304,146 : x
  2. Step 2: Convert to fraction form
    203,675/304,146 = 304,146/x
  3. Step 3: Cross multiply
    203,675x = 304,146 × 304,146
  4. Step 4: Simplify right side
    203,675x = 92,504,789,316
  5. Step 5: Solve for x
    x = 92,504,789,316/203,675
  6. Step 6: Final answer
    x = 454,178.42

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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.