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Finding the Third Proportional to 113,476 and 241,874

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Solution

The third proportional to 113,476 and 241,874 is: 515,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,476 : 241,874 = 241,874 : x
  2. Step 2: Convert to fraction form
    113,476/241,874 = 241,874/x
  3. Step 3: Cross multiply
    113,476x = 241,874 × 241,874
  4. Step 4: Simplify right side
    113,476x = 58,503,031,876
  5. Step 5: Solve for x
    x = 58,503,031,876/113,476
  6. Step 6: Final answer
    x = 515,554.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.