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Finding the Third Proportional to 128,212 and 280,550

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Solution

The third proportional to 128,212 and 280,550 is: 613,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,212 : 280,550 = 280,550 : x
  2. Step 2: Convert to fraction form
    128,212/280,550 = 280,550/x
  3. Step 3: Cross multiply
    128,212x = 280,550 × 280,550
  4. Step 4: Simplify right side
    128,212x = 78,708,302,500
  5. Step 5: Solve for x
    x = 78,708,302,500/128,212
  6. Step 6: Final answer
    x = 613,891.85

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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.