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Finding the Third Proportional to 144,214 and 197,850

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Solution

The third proportional to 144,214 and 197,850 is: 271,434.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,214 : 197,850 = 197,850 : x
  2. Step 2: Convert to fraction form
    144,214/197,850 = 197,850/x
  3. Step 3: Cross multiply
    144,214x = 197,850 × 197,850
  4. Step 4: Simplify right side
    144,214x = 39,144,622,500
  5. Step 5: Solve for x
    x = 39,144,622,500/144,214
  6. Step 6: Final answer
    x = 271,434.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.