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Finding the Third Proportional to 238,874 and 361,399

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Solution

The third proportional to 238,874 and 361,399 is: 546,770.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,874 : 361,399 = 361,399 : x
  2. Step 2: Convert to fraction form
    238,874/361,399 = 361,399/x
  3. Step 3: Cross multiply
    238,874x = 361,399 × 361,399
  4. Step 4: Simplify right side
    238,874x = 130,609,237,201
  5. Step 5: Solve for x
    x = 130,609,237,201/238,874
  6. Step 6: Final answer
    x = 546,770.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.