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Finding the Third Proportional to 139,905.50 and 305,422.25

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Solution

The third proportional to 139,905.50 and 305,422.25 is: 666,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,905.50 : 305,422.25 = 305,422.25 : x
  2. Step 2: Convert to fraction form
    139,905.50/305,422.25 = 305,422.25/x
  3. Step 3: Cross multiply
    139,905.50x = 305,422.25 × 305,422.25
  4. Step 4: Simplify right side
    139,905.50x = 93,282,750,795.06
  5. Step 5: Solve for x
    x = 93,282,750,795.06/139,905.50
  6. Step 6: Final answer
    x = 666,755.42

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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.