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Finding the Third Proportional to 149,968 and 238,499.50

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Solution

The third proportional to 149,968 and 238,499.50 is: 379,294.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,968 : 238,499.50 = 238,499.50 : x
  2. Step 2: Convert to fraction form
    149,968/238,499.50 = 238,499.50/x
  3. Step 3: Cross multiply
    149,968x = 238,499.50 × 238,499.50
  4. Step 4: Simplify right side
    149,968x = 56,882,011,500.25
  5. Step 5: Solve for x
    x = 56,882,011,500.25/149,968
  6. Step 6: Final answer
    x = 379,294.33

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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.