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Finding the Third Proportional to 251,241 and 341,166

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Solution

The third proportional to 251,241 and 341,166 is: 463,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,241 : 341,166 = 341,166 : x
  2. Step 2: Convert to fraction form
    251,241/341,166 = 341,166/x
  3. Step 3: Cross multiply
    251,241x = 341,166 × 341,166
  4. Step 4: Simplify right side
    251,241x = 116,394,239,556
  5. Step 5: Solve for x
    x = 116,394,239,556/251,241
  6. Step 6: Final answer
    x = 463,277.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.