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Finding the Third Proportional to 120,327.75 and 180,491.63

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Solution

The third proportional to 120,327.75 and 180,491.63 is: 270,737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,327.75 : 180,491.63 = 180,491.63 : x
  2. Step 2: Convert to fraction form
    120,327.75/180,491.63 = 180,491.63/x
  3. Step 3: Cross multiply
    120,327.75x = 180,491.63 × 180,491.63
  4. Step 4: Simplify right side
    120,327.75x = 32,577,226,695.14
  5. Step 5: Solve for x
    x = 32,577,226,695.14/120,327.75
  6. Step 6: Final answer
    x = 270,737.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.