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Finding the Third Proportional to 148,364 and 326,212

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Solution

The third proportional to 148,364 and 326,212 is: 717,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,364 : 326,212 = 326,212 : x
  2. Step 2: Convert to fraction form
    148,364/326,212 = 326,212/x
  3. Step 3: Cross multiply
    148,364x = 326,212 × 326,212
  4. Step 4: Simplify right side
    148,364x = 106,414,268,944
  5. Step 5: Solve for x
    x = 106,414,268,944/148,364
  6. Step 6: Final answer
    x = 717,251.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.