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Finding the Third Proportional to 200,709.75 and 275,222.25

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Solution

The third proportional to 200,709.75 and 275,222.25 is: 377,397.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,709.75 : 275,222.25 = 275,222.25 : x
  2. Step 2: Convert to fraction form
    200,709.75/275,222.25 = 275,222.25/x
  3. Step 3: Cross multiply
    200,709.75x = 275,222.25 × 275,222.25
  4. Step 4: Simplify right side
    200,709.75x = 75,747,286,895.06
  5. Step 5: Solve for x
    x = 75,747,286,895.06/200,709.75
  6. Step 6: Final answer
    x = 377,397.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.