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Finding the Third Proportional to 73,443 and 151,233

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Solution

The third proportional to 73,443 and 151,233 is: 311,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,443 : 151,233 = 151,233 : x
  2. Step 2: Convert to fraction form
    73,443/151,233 = 151,233/x
  3. Step 3: Cross multiply
    73,443x = 151,233 × 151,233
  4. Step 4: Simplify right side
    73,443x = 22,871,420,289
  5. Step 5: Solve for x
    x = 22,871,420,289/73,443
  6. Step 6: Final answer
    x = 311,417.29

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.