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Finding the Third Proportional to 117,366 and 256,238

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Solution

The third proportional to 117,366 and 256,238 is: 559,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,366 : 256,238 = 256,238 : x
  2. Step 2: Convert to fraction form
    117,366/256,238 = 256,238/x
  3. Step 3: Cross multiply
    117,366x = 256,238 × 256,238
  4. Step 4: Simplify right side
    117,366x = 65,657,912,644
  5. Step 5: Solve for x
    x = 65,657,912,644/117,366
  6. Step 6: Final answer
    x = 559,428.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.