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Finding the Third Proportional to 167,477 and 361,192

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Solution

The third proportional to 167,477 and 361,192 is: 778,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,477 : 361,192 = 361,192 : x
  2. Step 2: Convert to fraction form
    167,477/361,192 = 361,192/x
  3. Step 3: Cross multiply
    167,477x = 361,192 × 361,192
  4. Step 4: Simplify right side
    167,477x = 130,459,660,864
  5. Step 5: Solve for x
    x = 130,459,660,864/167,477
  6. Step 6: Final answer
    x = 778,970.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.