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Finding the Third Proportional to 175,789 and 364,039

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Solution

The third proportional to 175,789 and 364,039 is: 753,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,789 : 364,039 = 364,039 : x
  2. Step 2: Convert to fraction form
    175,789/364,039 = 364,039/x
  3. Step 3: Cross multiply
    175,789x = 364,039 × 364,039
  4. Step 4: Simplify right side
    175,789x = 132,524,393,521
  5. Step 5: Solve for x
    x = 132,524,393,521/175,789
  6. Step 6: Final answer
    x = 753,883.31

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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.