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Finding the Third Proportional to 128,751 and 279,669

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Solution

The third proportional to 128,751 and 279,669 is: 607,488.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,751 : 279,669 = 279,669 : x
  2. Step 2: Convert to fraction form
    128,751/279,669 = 279,669/x
  3. Step 3: Cross multiply
    128,751x = 279,669 × 279,669
  4. Step 4: Simplify right side
    128,751x = 78,214,749,561
  5. Step 5: Solve for x
    x = 78,214,749,561/128,751
  6. Step 6: Final answer
    x = 607,488.48

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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.