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Finding the Third Proportional to 170,067 and 370,753

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Solution

The third proportional to 170,067 and 370,753 is: 808,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,067 : 370,753 = 370,753 : x
  2. Step 2: Convert to fraction form
    170,067/370,753 = 370,753/x
  3. Step 3: Cross multiply
    170,067x = 370,753 × 370,753
  4. Step 4: Simplify right side
    170,067x = 137,457,787,009
  5. Step 5: Solve for x
    x = 137,457,787,009/170,067
  6. Step 6: Final answer
    x = 808,256.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.