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Finding the Third Proportional to 97,568 and 202,790

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Solution

The third proportional to 97,568 and 202,790 is: 421,488.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,568 : 202,790 = 202,790 : x
  2. Step 2: Convert to fraction form
    97,568/202,790 = 202,790/x
  3. Step 3: Cross multiply
    97,568x = 202,790 × 202,790
  4. Step 4: Simplify right side
    97,568x = 41,123,784,100
  5. Step 5: Solve for x
    x = 41,123,784,100/97,568
  6. Step 6: Final answer
    x = 421,488.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.