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Finding the Third Proportional to 167,188.50 and 361,645.50

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Solution

The third proportional to 167,188.50 and 361,645.50 is: 782,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,188.50 : 361,645.50 = 361,645.50 : x
  2. Step 2: Convert to fraction form
    167,188.50/361,645.50 = 361,645.50/x
  3. Step 3: Cross multiply
    167,188.50x = 361,645.50 × 361,645.50
  4. Step 4: Simplify right side
    167,188.50x = 130,787,467,670.25
  5. Step 5: Solve for x
    x = 130,787,467,670.25/167,188.50
  6. Step 6: Final answer
    x = 782,275.50

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.