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Finding the Third Proportional to 203,872 and 314,714

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Solution

The third proportional to 203,872 and 314,714 is: 485,819.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,872 : 314,714 = 314,714 : x
  2. Step 2: Convert to fraction form
    203,872/314,714 = 314,714/x
  3. Step 3: Cross multiply
    203,872x = 314,714 × 314,714
  4. Step 4: Simplify right side
    203,872x = 99,044,901,796
  5. Step 5: Solve for x
    x = 99,044,901,796/203,872
  6. Step 6: Final answer
    x = 485,819.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.