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Finding the Third Proportional to 140,080.50 and 299,845.50

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Solution

The third proportional to 140,080.50 and 299,845.50 is: 641,826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080.50 : 299,845.50 = 299,845.50 : x
  2. Step 2: Convert to fraction form
    140,080.50/299,845.50 = 299,845.50/x
  3. Step 3: Cross multiply
    140,080.50x = 299,845.50 × 299,845.50
  4. Step 4: Simplify right side
    140,080.50x = 89,907,323,870.25
  5. Step 5: Solve for x
    x = 89,907,323,870.25/140,080.50
  6. Step 6: Final answer
    x = 641,826.12

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.