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Finding the Third Proportional to 201,144.25 and 418,822.75

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Solution

The third proportional to 201,144.25 and 418,822.75 is: 872,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144.25 : 418,822.75 = 418,822.75 : x
  2. Step 2: Convert to fraction form
    201,144.25/418,822.75 = 418,822.75/x
  3. Step 3: Cross multiply
    201,144.25x = 418,822.75 × 418,822.75
  4. Step 4: Simplify right side
    201,144.25x = 175,412,495,917.56
  5. Step 5: Solve for x
    x = 175,412,495,917.56/201,144.25
  6. Step 6: Final answer
    x = 872,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.