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Finding the Third Proportional to 138,390 and 225,975.75

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Solution

The third proportional to 138,390 and 225,975.75 is: 368,993.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,390 : 225,975.75 = 225,975.75 : x
  2. Step 2: Convert to fraction form
    138,390/225,975.75 = 225,975.75/x
  3. Step 3: Cross multiply
    138,390x = 225,975.75 × 225,975.75
  4. Step 4: Simplify right side
    138,390x = 51,065,039,588.06
  5. Step 5: Solve for x
    x = 51,065,039,588.06/138,390
  6. Step 6: Final answer
    x = 368,993.71

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.