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Finding the Third Proportional to 140,467.50 and 303,385.50

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Solution

The third proportional to 140,467.50 and 303,385.50 is: 655,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,467.50 : 303,385.50 = 303,385.50 : x
  2. Step 2: Convert to fraction form
    140,467.50/303,385.50 = 303,385.50/x
  3. Step 3: Cross multiply
    140,467.50x = 303,385.50 × 303,385.50
  4. Step 4: Simplify right side
    140,467.50x = 92,042,761,610.25
  5. Step 5: Solve for x
    x = 92,042,761,610.25/140,467.50
  6. Step 6: Final answer
    x = 655,260.20

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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.