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Finding the Third Proportional to 149,825.50 and 321,885.50

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Solution

The third proportional to 149,825.50 and 321,885.50 is: 691,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,825.50 : 321,885.50 = 321,885.50 : x
  2. Step 2: Convert to fraction form
    149,825.50/321,885.50 = 321,885.50/x
  3. Step 3: Cross multiply
    149,825.50x = 321,885.50 × 321,885.50
  4. Step 4: Simplify right side
    149,825.50x = 103,610,275,110.25
  5. Step 5: Solve for x
    x = 103,610,275,110.25/149,825.50
  6. Step 6: Final answer
    x = 691,539.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.