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Finding the Third Proportional to 200,415.75 and 299,651.25

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Solution

The third proportional to 200,415.75 and 299,651.25 is: 448,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,415.75 : 299,651.25 = 299,651.25 : x
  2. Step 2: Convert to fraction form
    200,415.75/299,651.25 = 299,651.25/x
  3. Step 3: Cross multiply
    200,415.75x = 299,651.25 × 299,651.25
  4. Step 4: Simplify right side
    200,415.75x = 89,790,871,626.56
  5. Step 5: Solve for x
    x = 89,790,871,626.56/200,415.75
  6. Step 6: Final answer
    x = 448,023.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.