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Finding the Third Proportional to 132,048 and 280,458

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Solution

The third proportional to 132,048 and 280,458 is: 595,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,048 : 280,458 = 280,458 : x
  2. Step 2: Convert to fraction form
    132,048/280,458 = 280,458/x
  3. Step 3: Cross multiply
    132,048x = 280,458 × 280,458
  4. Step 4: Simplify right side
    132,048x = 78,656,689,764
  5. Step 5: Solve for x
    x = 78,656,689,764/132,048
  6. Step 6: Final answer
    x = 595,667.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.