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Finding the Third Proportional to 143,010.56 and 314,583.75

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Solution

The third proportional to 143,010.56 and 314,583.75 is: 691,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,010.56 : 314,583.75 = 314,583.75 : x
  2. Step 2: Convert to fraction form
    143,010.56/314,583.75 = 314,583.75/x
  3. Step 3: Cross multiply
    143,010.56x = 314,583.75 × 314,583.75
  4. Step 4: Simplify right side
    143,010.56x = 98,962,935,764.06
  5. Step 5: Solve for x
    x = 98,962,935,764.06/143,010.56
  6. Step 6: Final answer
    x = 691,997.39

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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.