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Finding the Third Proportional to 107,694 and 228,348

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Solution

The third proportional to 107,694 and 228,348 is: 484,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,694 : 228,348 = 228,348 : x
  2. Step 2: Convert to fraction form
    107,694/228,348 = 228,348/x
  3. Step 3: Cross multiply
    107,694x = 228,348 × 228,348
  4. Step 4: Simplify right side
    107,694x = 52,142,809,104
  5. Step 5: Solve for x
    x = 52,142,809,104/107,694
  6. Step 6: Final answer
    x = 484,175.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.