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Finding the Third Proportional to 173,977 and 370,741

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Solution

The third proportional to 173,977 and 370,741 is: 790,040.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,977 : 370,741 = 370,741 : x
  2. Step 2: Convert to fraction form
    173,977/370,741 = 370,741/x
  3. Step 3: Cross multiply
    173,977x = 370,741 × 370,741
  4. Step 4: Simplify right side
    173,977x = 137,448,889,081
  5. Step 5: Solve for x
    x = 137,448,889,081/173,977
  6. Step 6: Final answer
    x = 790,040.57

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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.