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Finding the Third Proportional to 140,209.50 and 305,796

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Solution

The third proportional to 140,209.50 and 305,796 is: 666,939.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,209.50 : 305,796 = 305,796 : x
  2. Step 2: Convert to fraction form
    140,209.50/305,796 = 305,796/x
  3. Step 3: Cross multiply
    140,209.50x = 305,796 × 305,796
  4. Step 4: Simplify right side
    140,209.50x = 93,511,193,616
  5. Step 5: Solve for x
    x = 93,511,193,616/140,209.50
  6. Step 6: Final answer
    x = 666,939.07

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.