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Finding the Third Proportional to 149,713.88 and 324,364.50

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Solution

The third proportional to 149,713.88 and 324,364.50 is: 702,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,713.88 : 324,364.50 = 324,364.50 : x
  2. Step 2: Convert to fraction form
    149,713.88/324,364.50 = 324,364.50/x
  3. Step 3: Cross multiply
    149,713.88x = 324,364.50 × 324,364.50
  4. Step 4: Simplify right side
    149,713.88x = 105,212,328,860.25
  5. Step 5: Solve for x
    x = 105,212,328,860.25/149,713.88
  6. Step 6: Final answer
    x = 702,756.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.