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Finding the Third Proportional to 152,049.66 and 219,022.73

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Solution

The third proportional to 152,049.66 and 219,022.73 is: 315,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,049.66 : 219,022.73 = 219,022.73 : x
  2. Step 2: Convert to fraction form
    152,049.66/219,022.73 = 219,022.73/x
  3. Step 3: Cross multiply
    152,049.66x = 219,022.73 × 219,022.73
  4. Step 4: Simplify right side
    152,049.66x = 47,970,958,173.10
  5. Step 5: Solve for x
    x = 47,970,958,173.10/152,049.66
  6. Step 6: Final answer
    x = 315,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.