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Finding the Third Proportional to 167,654 and 361,444

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Solution

The third proportional to 167,654 and 361,444 is: 779,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,654 : 361,444 = 361,444 : x
  2. Step 2: Convert to fraction form
    167,654/361,444 = 361,444/x
  3. Step 3: Cross multiply
    167,654x = 361,444 × 361,444
  4. Step 4: Simplify right side
    167,654x = 130,641,765,136
  5. Step 5: Solve for x
    x = 130,641,765,136/167,654
  6. Step 6: Final answer
    x = 779,234.41

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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.