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Finding the Third Proportional to 114,933 and 178,414

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Solution

The third proportional to 114,933 and 178,414 is: 276,957.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,933 : 178,414 = 178,414 : x
  2. Step 2: Convert to fraction form
    114,933/178,414 = 178,414/x
  3. Step 3: Cross multiply
    114,933x = 178,414 × 178,414
  4. Step 4: Simplify right side
    114,933x = 31,831,555,396
  5. Step 5: Solve for x
    x = 31,831,555,396/114,933
  6. Step 6: Final answer
    x = 276,957.49

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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.