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Finding the Third Proportional to 120,178.88 and 183,446.44

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Solution

The third proportional to 120,178.88 and 183,446.44 is: 280,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.88 : 183,446.44 = 183,446.44 : x
  2. Step 2: Convert to fraction form
    120,178.88/183,446.44 = 183,446.44/x
  3. Step 3: Cross multiply
    120,178.88x = 183,446.44 × 183,446.44
  4. Step 4: Simplify right side
    120,178.88x = 33,652,595,431.44
  5. Step 5: Solve for x
    x = 33,652,595,431.44/120,178.88
  6. Step 6: Final answer
    x = 280,020.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.