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Finding the Third Proportional to 213,874 and 299,001

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Solution

The third proportional to 213,874 and 299,001 is: 418,010.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,874 : 299,001 = 299,001 : x
  2. Step 2: Convert to fraction form
    213,874/299,001 = 299,001/x
  3. Step 3: Cross multiply
    213,874x = 299,001 × 299,001
  4. Step 4: Simplify right side
    213,874x = 89,401,598,001
  5. Step 5: Solve for x
    x = 89,401,598,001/213,874
  6. Step 6: Final answer
    x = 418,010.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.