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Finding the Third Proportional to 172,530 and 367,416

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Solution

The third proportional to 172,530 and 367,416 is: 782,440.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,530 : 367,416 = 367,416 : x
  2. Step 2: Convert to fraction form
    172,530/367,416 = 367,416/x
  3. Step 3: Cross multiply
    172,530x = 367,416 × 367,416
  4. Step 4: Simplify right side
    172,530x = 134,994,517,056
  5. Step 5: Solve for x
    x = 134,994,517,056/172,530
  6. Step 6: Final answer
    x = 782,440.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.