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Finding the Third Proportional to 207,952.31 and 425,758.78

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Solution

The third proportional to 207,952.31 and 425,758.78 is: 871,692.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,952.31 : 425,758.78 = 425,758.78 : x
  2. Step 2: Convert to fraction form
    207,952.31/425,758.78 = 425,758.78/x
  3. Step 3: Cross multiply
    207,952.31x = 425,758.78 × 425,758.78
  4. Step 4: Simplify right side
    207,952.31x = 181,270,539,811.49
  5. Step 5: Solve for x
    x = 181,270,539,811.49/207,952.31
  6. Step 6: Final answer
    x = 871,692.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.