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Finding the Third Proportional to 131,256.75 and 203,622

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Solution

The third proportional to 131,256.75 and 203,622 is: 315,884.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,256.75 : 203,622 = 203,622 : x
  2. Step 2: Convert to fraction form
    131,256.75/203,622 = 203,622/x
  3. Step 3: Cross multiply
    131,256.75x = 203,622 × 203,622
  4. Step 4: Simplify right side
    131,256.75x = 41,461,918,884
  5. Step 5: Solve for x
    x = 41,461,918,884/131,256.75
  6. Step 6: Final answer
    x = 315,884.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.