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Finding the Third Proportional to 200,104 and 310,244

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Solution

The third proportional to 200,104 and 310,244 is: 481,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,104 : 310,244 = 310,244 : x
  2. Step 2: Convert to fraction form
    200,104/310,244 = 310,244/x
  3. Step 3: Cross multiply
    200,104x = 310,244 × 310,244
  4. Step 4: Simplify right side
    200,104x = 96,251,339,536
  5. Step 5: Solve for x
    x = 96,251,339,536/200,104
  6. Step 6: Final answer
    x = 481,006.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.