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Finding the Third Proportional to 202,007 and 299,105

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Solution

The third proportional to 202,007 and 299,105 is: 442,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,007 : 299,105 = 299,105 : x
  2. Step 2: Convert to fraction form
    202,007/299,105 = 299,105/x
  3. Step 3: Cross multiply
    202,007x = 299,105 × 299,105
  4. Step 4: Simplify right side
    202,007x = 89,463,801,025
  5. Step 5: Solve for x
    x = 89,463,801,025/202,007
  6. Step 6: Final answer
    x = 442,874.76

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.