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Finding the Third Proportional to 239,361.75 and 354,420.75

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Solution

The third proportional to 239,361.75 and 354,420.75 is: 524,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,361.75 : 354,420.75 = 354,420.75 : x
  2. Step 2: Convert to fraction form
    239,361.75/354,420.75 = 354,420.75/x
  3. Step 3: Cross multiply
    239,361.75x = 354,420.75 × 354,420.75
  4. Step 4: Simplify right side
    239,361.75x = 125,614,068,030.56
  5. Step 5: Solve for x
    x = 125,614,068,030.56/239,361.75
  6. Step 6: Final answer
    x = 524,787.56

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.