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Finding the Third Proportional to 143,257.50 and 184,389.75

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Solution

The third proportional to 143,257.50 and 184,389.75 is: 237,331.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,257.50 : 184,389.75 = 184,389.75 : x
  2. Step 2: Convert to fraction form
    143,257.50/184,389.75 = 184,389.75/x
  3. Step 3: Cross multiply
    143,257.50x = 184,389.75 × 184,389.75
  4. Step 4: Simplify right side
    143,257.50x = 33,999,579,905.06
  5. Step 5: Solve for x
    x = 33,999,579,905.06/143,257.50
  6. Step 6: Final answer
    x = 237,331.94

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.