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Finding the Third Proportional to 132,401 and 283,754

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Solution

The third proportional to 132,401 and 283,754 is: 608,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,401 : 283,754 = 283,754 : x
  2. Step 2: Convert to fraction form
    132,401/283,754 = 283,754/x
  3. Step 3: Cross multiply
    132,401x = 283,754 × 283,754
  4. Step 4: Simplify right side
    132,401x = 80,516,332,516
  5. Step 5: Solve for x
    x = 80,516,332,516/132,401
  6. Step 6: Final answer
    x = 608,124.81

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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.