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Finding the Third Proportional to 118,511 and 259,193

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Solution

The third proportional to 118,511 and 259,193 is: 566,875.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,511 : 259,193 = 259,193 : x
  2. Step 2: Convert to fraction form
    118,511/259,193 = 259,193/x
  3. Step 3: Cross multiply
    118,511x = 259,193 × 259,193
  4. Step 4: Simplify right side
    118,511x = 67,181,011,249
  5. Step 5: Solve for x
    x = 67,181,011,249/118,511
  6. Step 6: Final answer
    x = 566,875.74

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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.