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Finding the Third Proportional to 135,620.50 and 197,274.75

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Solution

The third proportional to 135,620.50 and 197,274.75 is: 286,957.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,620.50 : 197,274.75 = 197,274.75 : x
  2. Step 2: Convert to fraction form
    135,620.50/197,274.75 = 197,274.75/x
  3. Step 3: Cross multiply
    135,620.50x = 197,274.75 × 197,274.75
  4. Step 4: Simplify right side
    135,620.50x = 38,917,326,987.56
  5. Step 5: Solve for x
    x = 38,917,326,987.56/135,620.50
  6. Step 6: Final answer
    x = 286,957.55

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.