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Finding the Third Proportional to 148,194 and 321,678

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Solution

The third proportional to 148,194 and 321,678 is: 698,251.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,194 : 321,678 = 321,678 : x
  2. Step 2: Convert to fraction form
    148,194/321,678 = 321,678/x
  3. Step 3: Cross multiply
    148,194x = 321,678 × 321,678
  4. Step 4: Simplify right side
    148,194x = 103,476,735,684
  5. Step 5: Solve for x
    x = 103,476,735,684/148,194
  6. Step 6: Final answer
    x = 698,251.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.