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Finding the Third Proportional to 161,464.25 and 347,608.63

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Solution

The third proportional to 161,464.25 and 347,608.63 is: 748,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,464.25 : 347,608.63 = 347,608.63 : x
  2. Step 2: Convert to fraction form
    161,464.25/347,608.63 = 347,608.63/x
  3. Step 3: Cross multiply
    161,464.25x = 347,608.63 × 347,608.63
  4. Step 4: Simplify right side
    161,464.25x = 120,831,756,174.39
  5. Step 5: Solve for x
    x = 120,831,756,174.39/161,464.25
  6. Step 6: Final answer
    x = 748,349.91

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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.