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Finding the Third Proportional to 167,500 and 364,525

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Solution

The third proportional to 167,500 and 364,525 is: 793,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,500 : 364,525 = 364,525 : x
  2. Step 2: Convert to fraction form
    167,500/364,525 = 364,525/x
  3. Step 3: Cross multiply
    167,500x = 364,525 × 364,525
  4. Step 4: Simplify right side
    167,500x = 132,878,475,625
  5. Step 5: Solve for x
    x = 132,878,475,625/167,500
  6. Step 6: Final answer
    x = 793,304.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.