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Finding the Third Proportional to 102,267 and 219,714

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Solution

The third proportional to 102,267 and 219,714 is: 472,041.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,267 : 219,714 = 219,714 : x
  2. Step 2: Convert to fraction form
    102,267/219,714 = 219,714/x
  3. Step 3: Cross multiply
    102,267x = 219,714 × 219,714
  4. Step 4: Simplify right side
    102,267x = 48,274,241,796
  5. Step 5: Solve for x
    x = 48,274,241,796/102,267
  6. Step 6: Final answer
    x = 472,041.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.