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Finding the Third Proportional to 202,069 and 336,767

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Solution

The third proportional to 202,069 and 336,767 is: 561,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,069 : 336,767 = 336,767 : x
  2. Step 2: Convert to fraction form
    202,069/336,767 = 336,767/x
  3. Step 3: Cross multiply
    202,069x = 336,767 × 336,767
  4. Step 4: Simplify right side
    202,069x = 113,412,012,289
  5. Step 5: Solve for x
    x = 113,412,012,289/202,069
  6. Step 6: Final answer
    x = 561,253.89

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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.