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Finding the Third Proportional to 202,364 and 304,198

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Solution

The third proportional to 202,364 and 304,198 is: 457,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,364 : 304,198 = 304,198 : x
  2. Step 2: Convert to fraction form
    202,364/304,198 = 304,198/x
  3. Step 3: Cross multiply
    202,364x = 304,198 × 304,198
  4. Step 4: Simplify right side
    202,364x = 92,536,423,204
  5. Step 5: Solve for x
    x = 92,536,423,204/202,364
  6. Step 6: Final answer
    x = 457,277.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.