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Finding the Third Proportional to 70,186.50 and 150,204.38

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Solution

The third proportional to 70,186.50 and 150,204.38 is: 321,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,186.50 : 150,204.38 = 150,204.38 : x
  2. Step 2: Convert to fraction form
    70,186.50/150,204.38 = 150,204.38/x
  3. Step 3: Cross multiply
    70,186.50x = 150,204.38 × 150,204.38
  4. Step 4: Simplify right side
    70,186.50x = 22,561,354,269.14
  5. Step 5: Solve for x
    x = 22,561,354,269.14/70,186.50
  6. Step 6: Final answer
    x = 321,448.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.