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Finding the Third Proportional to 167,192 and 361,654

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Solution

The third proportional to 167,192 and 361,654 is: 782,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,192 : 361,654 = 361,654 : x
  2. Step 2: Convert to fraction form
    167,192/361,654 = 361,654/x
  3. Step 3: Cross multiply
    167,192x = 361,654 × 361,654
  4. Step 4: Simplify right side
    167,192x = 130,793,615,716
  5. Step 5: Solve for x
    x = 130,793,615,716/167,192
  6. Step 6: Final answer
    x = 782,295.90

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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.