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Finding the Third Proportional to 115,194 and 178,788

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Solution

The third proportional to 115,194 and 178,788 is: 277,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 178,788 = 178,788 : x
  2. Step 2: Convert to fraction form
    115,194/178,788 = 178,788/x
  3. Step 3: Cross multiply
    115,194x = 178,788 × 178,788
  4. Step 4: Simplify right side
    115,194x = 31,965,148,944
  5. Step 5: Solve for x
    x = 31,965,148,944/115,194
  6. Step 6: Final answer
    x = 277,489.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.