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Finding the Third Proportional to 149,719.50 and 343,619

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Solution

The third proportional to 149,719.50 and 343,619 is: 788,634.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,719.50 : 343,619 = 343,619 : x
  2. Step 2: Convert to fraction form
    149,719.50/343,619 = 343,619/x
  3. Step 3: Cross multiply
    149,719.50x = 343,619 × 343,619
  4. Step 4: Simplify right side
    149,719.50x = 118,074,017,161
  5. Step 5: Solve for x
    x = 118,074,017,161/149,719.50
  6. Step 6: Final answer
    x = 788,634.86

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.