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Finding the Third Proportional to 115,855.50 and 250,977

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Solution

The third proportional to 115,855.50 and 250,977 is: 543,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,855.50 : 250,977 = 250,977 : x
  2. Step 2: Convert to fraction form
    115,855.50/250,977 = 250,977/x
  3. Step 3: Cross multiply
    115,855.50x = 250,977 × 250,977
  4. Step 4: Simplify right side
    115,855.50x = 62,989,454,529
  5. Step 5: Solve for x
    x = 62,989,454,529/115,855.50
  6. Step 6: Final answer
    x = 543,689.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.