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Finding the Third Proportional to 197,779 and 292,970

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Solution

The third proportional to 197,779 and 292,970 is: 433,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,779 : 292,970 = 292,970 : x
  2. Step 2: Convert to fraction form
    197,779/292,970 = 292,970/x
  3. Step 3: Cross multiply
    197,779x = 292,970 × 292,970
  4. Step 4: Simplify right side
    197,779x = 85,831,420,900
  5. Step 5: Solve for x
    x = 85,831,420,900/197,779
  6. Step 6: Final answer
    x = 433,976.41

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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.