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Finding the Third Proportional to 171,477 and 363,690

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Solution

The third proportional to 171,477 and 363,690 is: 771,359.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,477 : 363,690 = 363,690 : x
  2. Step 2: Convert to fraction form
    171,477/363,690 = 363,690/x
  3. Step 3: Cross multiply
    171,477x = 363,690 × 363,690
  4. Step 4: Simplify right side
    171,477x = 132,270,416,100
  5. Step 5: Solve for x
    x = 132,270,416,100/171,477
  6. Step 6: Final answer
    x = 771,359.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.