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Finding the Third Proportional to 76,684.50 and 167,311.50

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Solution

The third proportional to 76,684.50 and 167,311.50 is: 365,042.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.50 : 167,311.50 = 167,311.50 : x
  2. Step 2: Convert to fraction form
    76,684.50/167,311.50 = 167,311.50/x
  3. Step 3: Cross multiply
    76,684.50x = 167,311.50 × 167,311.50
  4. Step 4: Simplify right side
    76,684.50x = 27,993,138,032.25
  5. Step 5: Solve for x
    x = 27,993,138,032.25/76,684.50
  6. Step 6: Final answer
    x = 365,042.98

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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.