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Finding the Third Proportional to 213,714 and 308,001

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Solution

The third proportional to 213,714 and 308,001 is: 443,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714 : 308,001 = 308,001 : x
  2. Step 2: Convert to fraction form
    213,714/308,001 = 308,001/x
  3. Step 3: Cross multiply
    213,714x = 308,001 × 308,001
  4. Step 4: Simplify right side
    213,714x = 94,864,616,001
  5. Step 5: Solve for x
    x = 94,864,616,001/213,714
  6. Step 6: Final answer
    x = 443,885.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.