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Finding the Third Proportional to 135,212.63 and 288,522.75

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Solution

The third proportional to 135,212.63 and 288,522.75 is: 615,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,212.63 : 288,522.75 = 288,522.75 : x
  2. Step 2: Convert to fraction form
    135,212.63/288,522.75 = 288,522.75/x
  3. Step 3: Cross multiply
    135,212.63x = 288,522.75 × 288,522.75
  4. Step 4: Simplify right side
    135,212.63x = 83,245,377,267.56
  5. Step 5: Solve for x
    x = 83,245,377,267.56/135,212.63
  6. Step 6: Final answer
    x = 615,662.76

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.