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Finding the Third Proportional to 146,773.27 and 315,259.59

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Solution

The third proportional to 146,773.27 and 315,259.59 is: 677,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,773.27 : 315,259.59 = 315,259.59 : x
  2. Step 2: Convert to fraction form
    146,773.27/315,259.59 = 315,259.59/x
  3. Step 3: Cross multiply
    146,773.27x = 315,259.59 × 315,259.59
  4. Step 4: Simplify right side
    146,773.27x = 99,388,611,451.42
  5. Step 5: Solve for x
    x = 99,388,611,451.42/146,773.27
  6. Step 6: Final answer
    x = 677,157.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.