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Finding the Third Proportional to 180,956.53 and 397,360.69

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Solution

The third proportional to 180,956.53 and 397,360.69 is: 872,560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,956.53 : 397,360.69 = 397,360.69 : x
  2. Step 2: Convert to fraction form
    180,956.53/397,360.69 = 397,360.69/x
  3. Step 3: Cross multiply
    180,956.53x = 397,360.69 × 397,360.69
  4. Step 4: Simplify right side
    180,956.53x = 157,895,515,970.47
  5. Step 5: Solve for x
    x = 157,895,515,970.47/180,956.53
  6. Step 6: Final answer
    x = 872,560.47

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Why These Related Problems?

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