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Finding the Third Proportional to 143,601 and 238,501.50

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Solution

The third proportional to 143,601 and 238,501.50 is: 396,118.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,601 : 238,501.50 = 238,501.50 : x
  2. Step 2: Convert to fraction form
    143,601/238,501.50 = 238,501.50/x
  3. Step 3: Cross multiply
    143,601x = 238,501.50 × 238,501.50
  4. Step 4: Simplify right side
    143,601x = 56,882,965,502.25
  5. Step 5: Solve for x
    x = 56,882,965,502.25/143,601
  6. Step 6: Final answer
    x = 396,118.17

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.