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Finding the Third Proportional to 202,334 and 291,469

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Solution

The third proportional to 202,334 and 291,469 is: 419,871.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,334 : 291,469 = 291,469 : x
  2. Step 2: Convert to fraction form
    202,334/291,469 = 291,469/x
  3. Step 3: Cross multiply
    202,334x = 291,469 × 291,469
  4. Step 4: Simplify right side
    202,334x = 84,954,177,961
  5. Step 5: Solve for x
    x = 84,954,177,961/202,334
  6. Step 6: Final answer
    x = 419,871.00

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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.