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Finding the Third Proportional to 200,226.75 and 425,886.75

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Solution

The third proportional to 200,226.75 and 425,886.75 is: 905,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,226.75 : 425,886.75 = 425,886.75 : x
  2. Step 2: Convert to fraction form
    200,226.75/425,886.75 = 425,886.75/x
  3. Step 3: Cross multiply
    200,226.75x = 425,886.75 × 425,886.75
  4. Step 4: Simplify right side
    200,226.75x = 181,379,523,825.56
  5. Step 5: Solve for x
    x = 181,379,523,825.56/200,226.75
  6. Step 6: Final answer
    x = 905,870.59

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.