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Finding the Third Proportional to 128,469 and 276,623.25

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Solution

The third proportional to 128,469 and 276,623.25 is: 595,633.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,469 : 276,623.25 = 276,623.25 : x
  2. Step 2: Convert to fraction form
    128,469/276,623.25 = 276,623.25/x
  3. Step 3: Cross multiply
    128,469x = 276,623.25 × 276,623.25
  4. Step 4: Simplify right side
    128,469x = 76,520,422,440.56
  5. Step 5: Solve for x
    x = 76,520,422,440.56/128,469
  6. Step 6: Final answer
    x = 595,633.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.