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Finding the Third Proportional to 158,968.97 and 345,548.53

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Solution

The third proportional to 158,968.97 and 345,548.53 is: 751,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,968.97 : 345,548.53 = 345,548.53 : x
  2. Step 2: Convert to fraction form
    158,968.97/345,548.53 = 345,548.53/x
  3. Step 3: Cross multiply
    158,968.97x = 345,548.53 × 345,548.53
  4. Step 4: Simplify right side
    158,968.97x = 119,403,787,449.03
  5. Step 5: Solve for x
    x = 119,403,787,449.03/158,968.97
  6. Step 6: Final answer
    x = 751,113.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.