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Finding the Third Proportional to 173,678 and 271,022

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Solution

The third proportional to 173,678 and 271,022 is: 422,925.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,678 : 271,022 = 271,022 : x
  2. Step 2: Convert to fraction form
    173,678/271,022 = 271,022/x
  3. Step 3: Cross multiply
    173,678x = 271,022 × 271,022
  4. Step 4: Simplify right side
    173,678x = 73,452,924,484
  5. Step 5: Solve for x
    x = 73,452,924,484/173,678
  6. Step 6: Final answer
    x = 422,925.90

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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.