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Finding the Third Proportional to 195,261 and 402,183

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Solution

The third proportional to 195,261 and 402,183 is: 828,384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,261 : 402,183 = 402,183 : x
  2. Step 2: Convert to fraction form
    195,261/402,183 = 402,183/x
  3. Step 3: Cross multiply
    195,261x = 402,183 × 402,183
  4. Step 4: Simplify right side
    195,261x = 161,751,165,489
  5. Step 5: Solve for x
    x = 161,751,165,489/195,261
  6. Step 6: Final answer
    x = 828,384.40

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.