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Finding the Third Proportional to 128,424 and 279,096

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Solution

The third proportional to 128,424 and 279,096 is: 606,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,424 : 279,096 = 279,096 : x
  2. Step 2: Convert to fraction form
    128,424/279,096 = 279,096/x
  3. Step 3: Cross multiply
    128,424x = 279,096 × 279,096
  4. Step 4: Simplify right side
    128,424x = 77,894,577,216
  5. Step 5: Solve for x
    x = 77,894,577,216/128,424
  6. Step 6: Final answer
    x = 606,542.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.