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Finding the Third Proportional to 163,811 and 350,393

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Solution

The third proportional to 163,811 and 350,393 is: 749,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,811 : 350,393 = 350,393 : x
  2. Step 2: Convert to fraction form
    163,811/350,393 = 350,393/x
  3. Step 3: Cross multiply
    163,811x = 350,393 × 350,393
  4. Step 4: Simplify right side
    163,811x = 122,775,254,449
  5. Step 5: Solve for x
    x = 122,775,254,449/163,811
  6. Step 6: Final answer
    x = 749,493.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.