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Finding the Third Proportional to 73,263 and 150,408

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Solution

The third proportional to 73,263 and 150,408 is: 308,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,263 : 150,408 = 150,408 : x
  2. Step 2: Convert to fraction form
    73,263/150,408 = 150,408/x
  3. Step 3: Cross multiply
    73,263x = 150,408 × 150,408
  4. Step 4: Simplify right side
    73,263x = 22,622,566,464
  5. Step 5: Solve for x
    x = 22,622,566,464/73,263
  6. Step 6: Final answer
    x = 308,785.70

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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.