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Finding the Third Proportional to 200,767.50 and 275,290.25

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Solution

The third proportional to 200,767.50 and 275,290.25 is: 377,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,767.50 : 275,290.25 = 275,290.25 : x
  2. Step 2: Convert to fraction form
    200,767.50/275,290.25 = 275,290.25/x
  3. Step 3: Cross multiply
    200,767.50x = 275,290.25 × 275,290.25
  4. Step 4: Simplify right side
    200,767.50x = 75,784,721,745.06
  5. Step 5: Solve for x
    x = 75,784,721,745.06/200,767.50
  6. Step 6: Final answer
    x = 377,475.05

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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.