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Finding the Third Proportional to 118,672 and 259,226

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Solution

The third proportional to 118,672 and 259,226 is: 566,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,672 : 259,226 = 259,226 : x
  2. Step 2: Convert to fraction form
    118,672/259,226 = 259,226/x
  3. Step 3: Cross multiply
    118,672x = 259,226 × 259,226
  4. Step 4: Simplify right side
    118,672x = 67,198,119,076
  5. Step 5: Solve for x
    x = 67,198,119,076/118,672
  6. Step 6: Final answer
    x = 566,250.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.