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Finding the Third Proportional to 202,330 and 291,443

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Solution

The third proportional to 202,330 and 291,443 is: 419,804.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,330 : 291,443 = 291,443 : x
  2. Step 2: Convert to fraction form
    202,330/291,443 = 291,443/x
  3. Step 3: Cross multiply
    202,330x = 291,443 × 291,443
  4. Step 4: Simplify right side
    202,330x = 84,939,022,249
  5. Step 5: Solve for x
    x = 84,939,022,249/202,330
  6. Step 6: Final answer
    x = 419,804.39

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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.