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Finding the Third Proportional to 199,647.75 and 301,551

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Solution

The third proportional to 199,647.75 and 301,551 is: 455,467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,647.75 : 301,551 = 301,551 : x
  2. Step 2: Convert to fraction form
    199,647.75/301,551 = 301,551/x
  3. Step 3: Cross multiply
    199,647.75x = 301,551 × 301,551
  4. Step 4: Simplify right side
    199,647.75x = 90,933,005,601
  5. Step 5: Solve for x
    x = 90,933,005,601/199,647.75
  6. Step 6: Final answer
    x = 455,467.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.