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Finding the Third Proportional to 149,665.50 and 318,736.13

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Solution

The third proportional to 149,665.50 and 318,736.13 is: 678,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,665.50 : 318,736.13 = 318,736.13 : x
  2. Step 2: Convert to fraction form
    149,665.50/318,736.13 = 318,736.13/x
  3. Step 3: Cross multiply
    149,665.50x = 318,736.13 × 318,736.13
  4. Step 4: Simplify right side
    149,665.50x = 101,592,717,380.02
  5. Step 5: Solve for x
    x = 101,592,717,380.02/149,665.50
  6. Step 6: Final answer
    x = 678,798.50

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.