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Finding the Third Proportional to 206,158 and 294,020

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Solution

The third proportional to 206,158 and 294,020 is: 419,327.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,158 : 294,020 = 294,020 : x
  2. Step 2: Convert to fraction form
    206,158/294,020 = 294,020/x
  3. Step 3: Cross multiply
    206,158x = 294,020 × 294,020
  4. Step 4: Simplify right side
    206,158x = 86,447,760,400
  5. Step 5: Solve for x
    x = 86,447,760,400/206,158
  6. Step 6: Final answer
    x = 419,327.70

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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.