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Finding the Third Proportional to 271,873 and 420,112

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Solution

The third proportional to 271,873 and 420,112 is: 649,178.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,873 : 420,112 = 420,112 : x
  2. Step 2: Convert to fraction form
    271,873/420,112 = 420,112/x
  3. Step 3: Cross multiply
    271,873x = 420,112 × 420,112
  4. Step 4: Simplify right side
    271,873x = 176,494,092,544
  5. Step 5: Solve for x
    x = 176,494,092,544/271,873
  6. Step 6: Final answer
    x = 649,178.45

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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.