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Finding the Third Proportional to 173,684 and 271,031

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Solution

The third proportional to 173,684 and 271,031 is: 422,939.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,684 : 271,031 = 271,031 : x
  2. Step 2: Convert to fraction form
    173,684/271,031 = 271,031/x
  3. Step 3: Cross multiply
    173,684x = 271,031 × 271,031
  4. Step 4: Simplify right side
    173,684x = 73,457,802,961
  5. Step 5: Solve for x
    x = 73,457,802,961/173,684
  6. Step 6: Final answer
    x = 422,939.38

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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.