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Finding the Third Proportional to 171,889.50 and 376,962

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Solution

The third proportional to 171,889.50 and 376,962 is: 826,695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,889.50 : 376,962 = 376,962 : x
  2. Step 2: Convert to fraction form
    171,889.50/376,962 = 376,962/x
  3. Step 3: Cross multiply
    171,889.50x = 376,962 × 376,962
  4. Step 4: Simplify right side
    171,889.50x = 142,100,349,444
  5. Step 5: Solve for x
    x = 142,100,349,444/171,889.50
  6. Step 6: Final answer
    x = 826,695.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.