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Finding the Third Proportional to 148,649 and 326,818

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Solution

The third proportional to 148,649 and 326,818 is: 718,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649 : 326,818 = 326,818 : x
  2. Step 2: Convert to fraction form
    148,649/326,818 = 326,818/x
  3. Step 3: Cross multiply
    148,649x = 326,818 × 326,818
  4. Step 4: Simplify right side
    148,649x = 106,810,005,124
  5. Step 5: Solve for x
    x = 106,810,005,124/148,649
  6. Step 6: Final answer
    x = 718,538.34

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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.