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Finding the Third Proportional to 188,664 and 256,356

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Solution

The third proportional to 188,664 and 256,356 is: 348,335.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,664 : 256,356 = 256,356 : x
  2. Step 2: Convert to fraction form
    188,664/256,356 = 256,356/x
  3. Step 3: Cross multiply
    188,664x = 256,356 × 256,356
  4. Step 4: Simplify right side
    188,664x = 65,718,398,736
  5. Step 5: Solve for x
    x = 65,718,398,736/188,664
  6. Step 6: Final answer
    x = 348,335.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.