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Finding the Third Proportional to 193,705.75 and 410,857

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Solution

The third proportional to 193,705.75 and 410,857 is: 871,442.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,705.75 : 410,857 = 410,857 : x
  2. Step 2: Convert to fraction form
    193,705.75/410,857 = 410,857/x
  3. Step 3: Cross multiply
    193,705.75x = 410,857 × 410,857
  4. Step 4: Simplify right side
    193,705.75x = 168,803,474,449
  5. Step 5: Solve for x
    x = 168,803,474,449/193,705.75
  6. Step 6: Final answer
    x = 871,442.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.