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Finding the Third Proportional to 132,003 and 283,908.38

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Solution

The third proportional to 132,003 and 283,908.38 is: 610,622.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,003 : 283,908.38 = 283,908.38 : x
  2. Step 2: Convert to fraction form
    132,003/283,908.38 = 283,908.38/x
  3. Step 3: Cross multiply
    132,003x = 283,908.38 × 283,908.38
  4. Step 4: Simplify right side
    132,003x = 80,603,965,395.14
  5. Step 5: Solve for x
    x = 80,603,965,395.14/132,003
  6. Step 6: Final answer
    x = 610,622.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.