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Finding the Third Proportional to 102,348 and 208,857

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Solution

The third proportional to 102,348 and 208,857 is: 426,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,348 : 208,857 = 208,857 : x
  2. Step 2: Convert to fraction form
    102,348/208,857 = 208,857/x
  3. Step 3: Cross multiply
    102,348x = 208,857 × 208,857
  4. Step 4: Simplify right side
    102,348x = 43,621,246,449
  5. Step 5: Solve for x
    x = 43,621,246,449/102,348
  6. Step 6: Final answer
    x = 426,205.17

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.