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Finding the Third Proportional to 73,265 and 150,412

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Solution

The third proportional to 73,265 and 150,412 is: 308,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,265 : 150,412 = 150,412 : x
  2. Step 2: Convert to fraction form
    73,265/150,412 = 150,412/x
  3. Step 3: Cross multiply
    73,265x = 150,412 × 150,412
  4. Step 4: Simplify right side
    73,265x = 22,623,769,744
  5. Step 5: Solve for x
    x = 22,623,769,744/73,265
  6. Step 6: Final answer
    x = 308,793.69

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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.