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Finding the Third Proportional to 206,168 and 294,034

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Solution

The third proportional to 206,168 and 294,034 is: 419,347.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,168 : 294,034 = 294,034 : x
  2. Step 2: Convert to fraction form
    206,168/294,034 = 294,034/x
  3. Step 3: Cross multiply
    206,168x = 294,034 × 294,034
  4. Step 4: Simplify right side
    206,168x = 86,455,993,156
  5. Step 5: Solve for x
    x = 86,455,993,156/206,168
  6. Step 6: Final answer
    x = 419,347.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.