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Finding the Third Proportional to 117,862 and 178,505

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Solution

The third proportional to 117,862 and 178,505 is: 270,350.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,862 : 178,505 = 178,505 : x
  2. Step 2: Convert to fraction form
    117,862/178,505 = 178,505/x
  3. Step 3: Cross multiply
    117,862x = 178,505 × 178,505
  4. Step 4: Simplify right side
    117,862x = 31,864,035,025
  5. Step 5: Solve for x
    x = 31,864,035,025/117,862
  6. Step 6: Final answer
    x = 270,350.37

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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.