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Finding the Third Proportional to 174,467 and 377,917

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Solution

The third proportional to 174,467 and 377,917 is: 818,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,467 : 377,917 = 377,917 : x
  2. Step 2: Convert to fraction form
    174,467/377,917 = 377,917/x
  3. Step 3: Cross multiply
    174,467x = 377,917 × 377,917
  4. Step 4: Simplify right side
    174,467x = 142,821,258,889
  5. Step 5: Solve for x
    x = 142,821,258,889/174,467
  6. Step 6: Final answer
    x = 818,614.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.