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Finding the Third Proportional to 118,233 and 178,748

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Solution

The third proportional to 118,233 and 178,748 is: 270,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,233 : 178,748 = 178,748 : x
  2. Step 2: Convert to fraction form
    118,233/178,748 = 178,748/x
  3. Step 3: Cross multiply
    118,233x = 178,748 × 178,748
  4. Step 4: Simplify right side
    118,233x = 31,950,847,504
  5. Step 5: Solve for x
    x = 31,950,847,504/118,233
  6. Step 6: Final answer
    x = 270,236.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.