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Finding the Third Proportional to 131,773.50 and 289,791

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Solution

The third proportional to 131,773.50 and 289,791 is: 637,296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,773.50 : 289,791 = 289,791 : x
  2. Step 2: Convert to fraction form
    131,773.50/289,791 = 289,791/x
  3. Step 3: Cross multiply
    131,773.50x = 289,791 × 289,791
  4. Step 4: Simplify right side
    131,773.50x = 83,978,823,681
  5. Step 5: Solve for x
    x = 83,978,823,681/131,773.50
  6. Step 6: Final answer
    x = 637,296.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.