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Finding the Third Proportional to 163,760.25 and 347,202.75

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Solution

The third proportional to 163,760.25 and 347,202.75 is: 736,135.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,760.25 : 347,202.75 = 347,202.75 : x
  2. Step 2: Convert to fraction form
    163,760.25/347,202.75 = 347,202.75/x
  3. Step 3: Cross multiply
    163,760.25x = 347,202.75 × 347,202.75
  4. Step 4: Simplify right side
    163,760.25x = 120,549,749,607.56
  5. Step 5: Solve for x
    x = 120,549,749,607.56/163,760.25
  6. Step 6: Final answer
    x = 736,135.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.