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Finding the Third Proportional to 135,174 and 197,625

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Solution

The third proportional to 135,174 and 197,625 is: 288,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,174 : 197,625 = 197,625 : x
  2. Step 2: Convert to fraction form
    135,174/197,625 = 197,625/x
  3. Step 3: Cross multiply
    135,174x = 197,625 × 197,625
  4. Step 4: Simplify right side
    135,174x = 39,055,640,625
  5. Step 5: Solve for x
    x = 39,055,640,625/135,174
  6. Step 6: Final answer
    x = 288,928.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.