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Finding the Third Proportional to 202,135 and 336,863

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Solution

The third proportional to 202,135 and 336,863 is: 561,390.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,135 : 336,863 = 336,863 : x
  2. Step 2: Convert to fraction form
    202,135/336,863 = 336,863/x
  3. Step 3: Cross multiply
    202,135x = 336,863 × 336,863
  4. Step 4: Simplify right side
    202,135x = 113,476,680,769
  5. Step 5: Solve for x
    x = 113,476,680,769/202,135
  6. Step 6: Final answer
    x = 561,390.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.