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Finding the Third Proportional to 196,796 and 276,150

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Solution

The third proportional to 196,796 and 276,150 is: 387,501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,796 : 276,150 = 276,150 : x
  2. Step 2: Convert to fraction form
    196,796/276,150 = 276,150/x
  3. Step 3: Cross multiply
    196,796x = 276,150 × 276,150
  4. Step 4: Simplify right side
    196,796x = 76,258,822,500
  5. Step 5: Solve for x
    x = 76,258,822,500/196,796
  6. Step 6: Final answer
    x = 387,501.89

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