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Finding the Third Proportional to 149,844.94 and 318,760.31

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Solution

The third proportional to 149,844.94 and 318,760.31 is: 678,088.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,844.94 : 318,760.31 = 318,760.31 : x
  2. Step 2: Convert to fraction form
    149,844.94/318,760.31 = 318,760.31/x
  3. Step 3: Cross multiply
    149,844.94x = 318,760.31 × 318,760.31
  4. Step 4: Simplify right side
    149,844.94x = 101,608,136,825.10
  5. Step 5: Solve for x
    x = 101,608,136,825.10/149,844.94
  6. Step 6: Final answer
    x = 678,088.55

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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.