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Finding the Third Proportional to 197,924 and 415,288

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Solution

The third proportional to 197,924 and 415,288 is: 871,365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,924 : 415,288 = 415,288 : x
  2. Step 2: Convert to fraction form
    197,924/415,288 = 415,288/x
  3. Step 3: Cross multiply
    197,924x = 415,288 × 415,288
  4. Step 4: Simplify right side
    197,924x = 172,464,122,944
  5. Step 5: Solve for x
    x = 172,464,122,944/197,924
  6. Step 6: Final answer
    x = 871,365.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.