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Finding the Third Proportional to 196,590 and 294,183

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Solution

The third proportional to 196,590 and 294,183 is: 440,224.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,590 : 294,183 = 294,183 : x
  2. Step 2: Convert to fraction form
    196,590/294,183 = 294,183/x
  3. Step 3: Cross multiply
    196,590x = 294,183 × 294,183
  4. Step 4: Simplify right side
    196,590x = 86,543,637,489
  5. Step 5: Solve for x
    x = 86,543,637,489/196,590
  6. Step 6: Final answer
    x = 440,224.01

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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.