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Finding the Third Proportional to 161,876 and 245,068

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Solution

The third proportional to 161,876 and 245,068 is: 371,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,876 : 245,068 = 245,068 : x
  2. Step 2: Convert to fraction form
    161,876/245,068 = 245,068/x
  3. Step 3: Cross multiply
    161,876x = 245,068 × 245,068
  4. Step 4: Simplify right side
    161,876x = 60,058,324,624
  5. Step 5: Solve for x
    x = 60,058,324,624/161,876
  6. Step 6: Final answer
    x = 371,014.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.