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Finding the Third Proportional to 138,601.13 and 302,261.63

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Solution

The third proportional to 138,601.13 and 302,261.63 is: 659,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,601.13 : 302,261.63 = 302,261.63 : x
  2. Step 2: Convert to fraction form
    138,601.13/302,261.63 = 302,261.63/x
  3. Step 3: Cross multiply
    138,601.13x = 302,261.63 × 302,261.63
  4. Step 4: Simplify right side
    138,601.13x = 91,362,089,947.64
  5. Step 5: Solve for x
    x = 91,362,089,947.64/138,601.13
  6. Step 6: Final answer
    x = 659,172.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.