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Finding the Third Proportional to 149,968.50 and 238,501.50

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Solution

The third proportional to 149,968.50 and 238,501.50 is: 379,299.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,968.50 : 238,501.50 = 238,501.50 : x
  2. Step 2: Convert to fraction form
    149,968.50/238,501.50 = 238,501.50/x
  3. Step 3: Cross multiply
    149,968.50x = 238,501.50 × 238,501.50
  4. Step 4: Simplify right side
    149,968.50x = 56,882,965,502.25
  5. Step 5: Solve for x
    x = 56,882,965,502.25/149,968.50
  6. Step 6: Final answer
    x = 379,299.42

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.