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Finding the Third Proportional to 128,178.70 and 280,520.72

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Solution

The third proportional to 128,178.70 and 280,520.72 is: 613,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,178.70 : 280,520.72 = 280,520.72 : x
  2. Step 2: Convert to fraction form
    128,178.70/280,520.72 = 280,520.72/x
  3. Step 3: Cross multiply
    128,178.70x = 280,520.72 × 280,520.72
  4. Step 4: Simplify right side
    128,178.70x = 78,691,873,648.02
  5. Step 5: Solve for x
    x = 78,691,873,648.02/128,178.70
  6. Step 6: Final answer
    x = 613,923.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.