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Finding the Third Proportional to 188,683 and 256,383

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Solution

The third proportional to 188,683 and 256,383 is: 348,373.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,683 : 256,383 = 256,383 : x
  2. Step 2: Convert to fraction form
    188,683/256,383 = 256,383/x
  3. Step 3: Cross multiply
    188,683x = 256,383 × 256,383
  4. Step 4: Simplify right side
    188,683x = 65,732,242,689
  5. Step 5: Solve for x
    x = 65,732,242,689/188,683
  6. Step 6: Final answer
    x = 348,373.95

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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.