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Finding the Third Proportional to 173,991 and 370,767

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Solution

The third proportional to 173,991 and 370,767 is: 790,087.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,991 : 370,767 = 370,767 : x
  2. Step 2: Convert to fraction form
    173,991/370,767 = 370,767/x
  3. Step 3: Cross multiply
    173,991x = 370,767 × 370,767
  4. Step 4: Simplify right side
    173,991x = 137,468,168,289
  5. Step 5: Solve for x
    x = 137,468,168,289/173,991
  6. Step 6: Final answer
    x = 790,087.81

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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.