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Finding the Third Proportional to 132,672.94 and 280,320.75

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Solution

The third proportional to 132,672.94 and 280,320.75 is: 592,281.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,672.94 : 280,320.75 = 280,320.75 : x
  2. Step 2: Convert to fraction form
    132,672.94/280,320.75 = 280,320.75/x
  3. Step 3: Cross multiply
    132,672.94x = 280,320.75 × 280,320.75
  4. Step 4: Simplify right side
    132,672.94x = 78,579,722,880.56
  5. Step 5: Solve for x
    x = 78,579,722,880.56/132,672.94
  6. Step 6: Final answer
    x = 592,281.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.