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Finding the Third Proportional to 193,474.13 and 293,132.25

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Solution

The third proportional to 193,474.13 and 293,132.25 is: 444,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,474.13 : 293,132.25 = 293,132.25 : x
  2. Step 2: Convert to fraction form
    193,474.13/293,132.25 = 293,132.25/x
  3. Step 3: Cross multiply
    193,474.13x = 293,132.25 × 293,132.25
  4. Step 4: Simplify right side
    193,474.13x = 85,926,515,990.06
  5. Step 5: Solve for x
    x = 85,926,515,990.06/193,474.13
  6. Step 6: Final answer
    x = 444,124.07

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.