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Finding the Third Proportional to 140,242.50 and 308,522.25

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Solution

The third proportional to 140,242.50 and 308,522.25 is: 678,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,242.50 : 308,522.25 = 308,522.25 : x
  2. Step 2: Convert to fraction form
    140,242.50/308,522.25 = 308,522.25/x
  3. Step 3: Cross multiply
    140,242.50x = 308,522.25 × 308,522.25
  4. Step 4: Simplify right side
    140,242.50x = 95,185,978,745.06
  5. Step 5: Solve for x
    x = 95,185,978,745.06/140,242.50
  6. Step 6: Final answer
    x = 678,724.20

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.