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Finding the Third Proportional to 153,902.53 and 335,548.83

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Solution

The third proportional to 153,902.53 and 335,548.83 is: 731,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,902.53 : 335,548.83 = 335,548.83 : x
  2. Step 2: Convert to fraction form
    153,902.53/335,548.83 = 335,548.83/x
  3. Step 3: Cross multiply
    153,902.53x = 335,548.83 × 335,548.83
  4. Step 4: Simplify right side
    153,902.53x = 112,593,016,056.06
  5. Step 5: Solve for x
    x = 112,593,016,056.06/153,902.53
  6. Step 6: Final answer
    x = 731,586.51

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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.