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Finding the Third Proportional to 135,722.25 and 221,811.75

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Solution

The third proportional to 135,722.25 and 221,811.75 is: 362,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,722.25 : 221,811.75 = 221,811.75 : x
  2. Step 2: Convert to fraction form
    135,722.25/221,811.75 = 221,811.75/x
  3. Step 3: Cross multiply
    135,722.25x = 221,811.75 × 221,811.75
  4. Step 4: Simplify right side
    135,722.25x = 49,200,452,438.06
  5. Step 5: Solve for x
    x = 49,200,452,438.06/135,722.25
  6. Step 6: Final answer
    x = 362,508.38

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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.