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Finding the Third Proportional to 173,960 and 370,702

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Solution

The third proportional to 173,960 and 370,702 is: 789,951.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,960 : 370,702 = 370,702 : x
  2. Step 2: Convert to fraction form
    173,960/370,702 = 370,702/x
  3. Step 3: Cross multiply
    173,960x = 370,702 × 370,702
  4. Step 4: Simplify right side
    173,960x = 137,419,972,804
  5. Step 5: Solve for x
    x = 137,419,972,804/173,960
  6. Step 6: Final answer
    x = 789,951.56

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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.