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Finding the Third Proportional to 173,686 and 271,034

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Solution

The third proportional to 173,686 and 271,034 is: 422,943.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,686 : 271,034 = 271,034 : x
  2. Step 2: Convert to fraction form
    173,686/271,034 = 271,034/x
  3. Step 3: Cross multiply
    173,686x = 271,034 × 271,034
  4. Step 4: Simplify right side
    173,686x = 73,459,429,156
  5. Step 5: Solve for x
    x = 73,459,429,156/173,686
  6. Step 6: Final answer
    x = 422,943.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.