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Finding the Third Proportional to 173,986 and 370,759

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Solution

The third proportional to 173,986 and 370,759 is: 790,076.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,986 : 370,759 = 370,759 : x
  2. Step 2: Convert to fraction form
    173,986/370,759 = 370,759/x
  3. Step 3: Cross multiply
    173,986x = 370,759 × 370,759
  4. Step 4: Simplify right side
    173,986x = 137,462,236,081
  5. Step 5: Solve for x
    x = 137,462,236,081/173,986
  6. Step 6: Final answer
    x = 790,076.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.