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Finding the Third Proportional to 135,622 and 197,277

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Solution

The third proportional to 135,622 and 197,277 is: 286,960.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,622 : 197,277 = 197,277 : x
  2. Step 2: Convert to fraction form
    135,622/197,277 = 197,277/x
  3. Step 3: Cross multiply
    135,622x = 197,277 × 197,277
  4. Step 4: Simplify right side
    135,622x = 38,918,214,729
  5. Step 5: Solve for x
    x = 38,918,214,729/135,622
  6. Step 6: Final answer
    x = 286,960.93

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Why These Related Problems?

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