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Finding the Third Proportional to 206,140 and 293,994

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Solution

The third proportional to 206,140 and 293,994 is: 419,290.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,140 : 293,994 = 293,994 : x
  2. Step 2: Convert to fraction form
    206,140/293,994 = 293,994/x
  3. Step 3: Cross multiply
    206,140x = 293,994 × 293,994
  4. Step 4: Simplify right side
    206,140x = 86,432,472,036
  5. Step 5: Solve for x
    x = 86,432,472,036/206,140
  6. Step 6: Final answer
    x = 419,290.15

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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.