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Finding the Third Proportional to 206,154 and 294,015

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Solution

The third proportional to 206,154 and 294,015 is: 419,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,154 : 294,015 = 294,015 : x
  2. Step 2: Convert to fraction form
    206,154/294,015 = 294,015/x
  3. Step 3: Cross multiply
    206,154x = 294,015 × 294,015
  4. Step 4: Simplify right side
    206,154x = 86,444,820,225
  5. Step 5: Solve for x
    x = 86,444,820,225/206,154
  6. Step 6: Final answer
    x = 419,321.58

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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.