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Finding the Third Proportional to 175,783 and 364,027

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Solution

The third proportional to 175,783 and 364,027 is: 753,859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,783 : 364,027 = 364,027 : x
  2. Step 2: Convert to fraction form
    175,783/364,027 = 364,027/x
  3. Step 3: Cross multiply
    175,783x = 364,027 × 364,027
  4. Step 4: Simplify right side
    175,783x = 132,515,656,729
  5. Step 5: Solve for x
    x = 132,515,656,729/175,783
  6. Step 6: Final answer
    x = 753,859.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.