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Finding the Third Proportional to 200,765.25 and 293,604.75

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Solution

The third proportional to 200,765.25 and 293,604.75 is: 429,375.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,765.25 : 293,604.75 = 293,604.75 : x
  2. Step 2: Convert to fraction form
    200,765.25/293,604.75 = 293,604.75/x
  3. Step 3: Cross multiply
    200,765.25x = 293,604.75 × 293,604.75
  4. Step 4: Simplify right side
    200,765.25x = 86,203,749,222.56
  5. Step 5: Solve for x
    x = 86,203,749,222.56/200,765.25
  6. Step 6: Final answer
    x = 429,375.85

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.