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Finding the Third Proportional to 128,779 and 196,997

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Solution

The third proportional to 128,779 and 196,997 is: 301,352.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,779 : 196,997 = 196,997 : x
  2. Step 2: Convert to fraction form
    128,779/196,997 = 196,997/x
  3. Step 3: Cross multiply
    128,779x = 196,997 × 196,997
  4. Step 4: Simplify right side
    128,779x = 38,807,818,009
  5. Step 5: Solve for x
    x = 38,807,818,009/128,779
  6. Step 6: Final answer
    x = 301,352.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.