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Finding the Third Proportional to 73,257.75 and 150,403.50

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Solution

The third proportional to 73,257.75 and 150,403.50 is: 308,789.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,257.75 : 150,403.50 = 150,403.50 : x
  2. Step 2: Convert to fraction form
    73,257.75/150,403.50 = 150,403.50/x
  3. Step 3: Cross multiply
    73,257.75x = 150,403.50 × 150,403.50
  4. Step 4: Simplify right side
    73,257.75x = 22,621,212,812.25
  5. Step 5: Solve for x
    x = 22,621,212,812.25/73,257.75
  6. Step 6: Final answer
    x = 308,789.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.