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Finding the Third Proportional to 152,679.94 and 200,773.69

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Solution

The third proportional to 152,679.94 and 200,773.69 is: 264,016.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,679.94 : 200,773.69 = 200,773.69 : x
  2. Step 2: Convert to fraction form
    152,679.94/200,773.69 = 200,773.69/x
  3. Step 3: Cross multiply
    152,679.94x = 200,773.69 × 200,773.69
  4. Step 4: Simplify right side
    152,679.94x = 40,310,073,592.35
  5. Step 5: Solve for x
    x = 40,310,073,592.35/152,679.94
  6. Step 6: Final answer
    x = 264,016.83

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.