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Finding the Third Proportional to 202,243 and 291,336

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Solution

The third proportional to 202,243 and 291,336 is: 419,676.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,243 : 291,336 = 291,336 : x
  2. Step 2: Convert to fraction form
    202,243/291,336 = 291,336/x
  3. Step 3: Cross multiply
    202,243x = 291,336 × 291,336
  4. Step 4: Simplify right side
    202,243x = 84,876,664,896
  5. Step 5: Solve for x
    x = 84,876,664,896/202,243
  6. Step 6: Final answer
    x = 419,676.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.