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Finding the Third Proportional to 167,775 and 354,982.50

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Solution

The third proportional to 167,775 and 354,982.50 is: 751,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,775 : 354,982.50 = 354,982.50 : x
  2. Step 2: Convert to fraction form
    167,775/354,982.50 = 354,982.50/x
  3. Step 3: Cross multiply
    167,775x = 354,982.50 × 354,982.50
  4. Step 4: Simplify right side
    167,775x = 126,012,575,306.25
  5. Step 5: Solve for x
    x = 126,012,575,306.25/167,775
  6. Step 6: Final answer
    x = 751,080.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.