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Finding the Third Proportional to 202,107 and 336,824

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Solution

The third proportional to 202,107 and 336,824 is: 561,338.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107 : 336,824 = 336,824 : x
  2. Step 2: Convert to fraction form
    202,107/336,824 = 336,824/x
  3. Step 3: Cross multiply
    202,107x = 336,824 × 336,824
  4. Step 4: Simplify right side
    202,107x = 113,450,406,976
  5. Step 5: Solve for x
    x = 113,450,406,976/202,107
  6. Step 6: Final answer
    x = 561,338.34

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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.