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Finding the Third Proportional to 197,932 and 319,308

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Solution

The third proportional to 197,932 and 319,308 is: 515,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,932 : 319,308 = 319,308 : x
  2. Step 2: Convert to fraction form
    197,932/319,308 = 319,308/x
  3. Step 3: Cross multiply
    197,932x = 319,308 × 319,308
  4. Step 4: Simplify right side
    197,932x = 101,957,598,864
  5. Step 5: Solve for x
    x = 101,957,598,864/197,932
  6. Step 6: Final answer
    x = 515,114.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.