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Finding the Third Proportional to 142,035.75 and 306,213.75

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Solution

The third proportional to 142,035.75 and 306,213.75 is: 660,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,035.75 : 306,213.75 = 306,213.75 : x
  2. Step 2: Convert to fraction form
    142,035.75/306,213.75 = 306,213.75/x
  3. Step 3: Cross multiply
    142,035.75x = 306,213.75 × 306,213.75
  4. Step 4: Simplify right side
    142,035.75x = 93,766,860,689.06
  5. Step 5: Solve for x
    x = 93,766,860,689.06/142,035.75
  6. Step 6: Final answer
    x = 660,163.80

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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.