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Finding the Third Proportional to 173,968 and 370,716

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Solution

The third proportional to 173,968 and 370,716 is: 789,974.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,968 : 370,716 = 370,716 : x
  2. Step 2: Convert to fraction form
    173,968/370,716 = 370,716/x
  3. Step 3: Cross multiply
    173,968x = 370,716 × 370,716
  4. Step 4: Simplify right side
    173,968x = 137,430,352,656
  5. Step 5: Solve for x
    x = 137,430,352,656/173,968
  6. Step 6: Final answer
    x = 789,974.90

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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.