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Finding the Third Proportional to 102,249 and 218,714

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Solution

The third proportional to 102,249 and 218,714 is: 467,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249 : 218,714 = 218,714 : x
  2. Step 2: Convert to fraction form
    102,249/218,714 = 218,714/x
  3. Step 3: Cross multiply
    102,249x = 218,714 × 218,714
  4. Step 4: Simplify right side
    102,249x = 47,835,813,796
  5. Step 5: Solve for x
    x = 47,835,813,796/102,249
  6. Step 6: Final answer
    x = 467,836.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.