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Finding the Third Proportional to 174,619 and 381,223

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Solution

The third proportional to 174,619 and 381,223 is: 832,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,619 : 381,223 = 381,223 : x
  2. Step 2: Convert to fraction form
    174,619/381,223 = 381,223/x
  3. Step 3: Cross multiply
    174,619x = 381,223 × 381,223
  4. Step 4: Simplify right side
    174,619x = 145,330,975,729
  5. Step 5: Solve for x
    x = 145,330,975,729/174,619
  6. Step 6: Final answer
    x = 832,274.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.