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Finding the Third Proportional to 197,783 and 292,976

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Solution

The third proportional to 197,783 and 292,976 is: 433,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,783 : 292,976 = 292,976 : x
  2. Step 2: Convert to fraction form
    197,783/292,976 = 292,976/x
  3. Step 3: Cross multiply
    197,783x = 292,976 × 292,976
  4. Step 4: Simplify right side
    197,783x = 85,834,936,576
  5. Step 5: Solve for x
    x = 85,834,936,576/197,783
  6. Step 6: Final answer
    x = 433,985.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.