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Finding the Third Proportional to 73,244.25 and 150,376.50

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Solution

The third proportional to 73,244.25 and 150,376.50 is: 308,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,244.25 : 150,376.50 = 150,376.50 : x
  2. Step 2: Convert to fraction form
    73,244.25/150,376.50 = 150,376.50/x
  3. Step 3: Cross multiply
    73,244.25x = 150,376.50 × 150,376.50
  4. Step 4: Simplify right side
    73,244.25x = 22,613,091,752.25
  5. Step 5: Solve for x
    x = 22,613,091,752.25/73,244.25
  6. Step 6: Final answer
    x = 308,735.39

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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.