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Finding the Third Proportional to 193,703 and 410,853

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Solution

The third proportional to 193,703 and 410,853 is: 871,438.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,703 : 410,853 = 410,853 : x
  2. Step 2: Convert to fraction form
    193,703/410,853 = 410,853/x
  3. Step 3: Cross multiply
    193,703x = 410,853 × 410,853
  4. Step 4: Simplify right side
    193,703x = 168,800,187,609
  5. Step 5: Solve for x
    x = 168,800,187,609/193,703
  6. Step 6: Final answer
    x = 871,438.17

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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.