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Finding the Third Proportional to 102,264 and 238,845

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Solution

The third proportional to 102,264 and 238,845 is: 557,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,264 : 238,845 = 238,845 : x
  2. Step 2: Convert to fraction form
    102,264/238,845 = 238,845/x
  3. Step 3: Cross multiply
    102,264x = 238,845 × 238,845
  4. Step 4: Simplify right side
    102,264x = 57,046,934,025
  5. Step 5: Solve for x
    x = 57,046,934,025/102,264
  6. Step 6: Final answer
    x = 557,839.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.