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Finding the Third Proportional to 143,311.78 and 183,799.13

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Solution

The third proportional to 143,311.78 and 183,799.13 is: 235,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,311.78 : 183,799.13 = 183,799.13 : x
  2. Step 2: Convert to fraction form
    143,311.78/183,799.13 = 183,799.13/x
  3. Step 3: Cross multiply
    143,311.78x = 183,799.13 × 183,799.13
  4. Step 4: Simplify right side
    143,311.78x = 33,782,118,350.77
  5. Step 5: Solve for x
    x = 33,782,118,350.77/143,311.78
  6. Step 6: Final answer
    x = 235,724.64

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.