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Finding the Third Proportional to 140,708 and 295,994

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Solution

The third proportional to 140,708 and 295,994 is: 622,654.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,708 : 295,994 = 295,994 : x
  2. Step 2: Convert to fraction form
    140,708/295,994 = 295,994/x
  3. Step 3: Cross multiply
    140,708x = 295,994 × 295,994
  4. Step 4: Simplify right side
    140,708x = 87,612,448,036
  5. Step 5: Solve for x
    x = 87,612,448,036/140,708
  6. Step 6: Final answer
    x = 622,654.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.