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Finding the Third Proportional to 76,682.50 and 167,307.50

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Solution

The third proportional to 76,682.50 and 167,307.50 is: 365,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,682.50 : 167,307.50 = 167,307.50 : x
  2. Step 2: Convert to fraction form
    76,682.50/167,307.50 = 167,307.50/x
  3. Step 3: Cross multiply
    76,682.50x = 167,307.50 × 167,307.50
  4. Step 4: Simplify right side
    76,682.50x = 27,991,799,556.25
  5. Step 5: Solve for x
    x = 27,991,799,556.25/76,682.50
  6. Step 6: Final answer
    x = 365,035.04

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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.