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Finding the Third Proportional to 197,058 and 295,182

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Solution

The third proportional to 197,058 and 295,182 is: 442,166.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,058 : 295,182 = 295,182 : x
  2. Step 2: Convert to fraction form
    197,058/295,182 = 295,182/x
  3. Step 3: Cross multiply
    197,058x = 295,182 × 295,182
  4. Step 4: Simplify right side
    197,058x = 87,132,413,124
  5. Step 5: Solve for x
    x = 87,132,413,124/197,058
  6. Step 6: Final answer
    x = 442,166.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.