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Finding the Third Proportional to 201,243.75 and 419,022.50

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Solution

The third proportional to 201,243.75 and 419,022.50 is: 872,473.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,243.75 : 419,022.50 = 419,022.50 : x
  2. Step 2: Convert to fraction form
    201,243.75/419,022.50 = 419,022.50/x
  3. Step 3: Cross multiply
    201,243.75x = 419,022.50 × 419,022.50
  4. Step 4: Simplify right side
    201,243.75x = 175,579,855,506.25
  5. Step 5: Solve for x
    x = 175,579,855,506.25/201,243.75
  6. Step 6: Final answer
    x = 872,473.58

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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.