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Finding the Third Proportional to 141,233 and 197,937.50

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Solution

The third proportional to 141,233 and 197,937.50 is: 277,408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,233 : 197,937.50 = 197,937.50 : x
  2. Step 2: Convert to fraction form
    141,233/197,937.50 = 197,937.50/x
  3. Step 3: Cross multiply
    141,233x = 197,937.50 × 197,937.50
  4. Step 4: Simplify right side
    141,233x = 39,179,253,906.25
  5. Step 5: Solve for x
    x = 39,179,253,906.25/141,233
  6. Step 6: Final answer
    x = 277,408.64

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.