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Finding the Third Proportional to 164,193 and 245,925

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Solution

The third proportional to 164,193 and 245,925 is: 368,341.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,193 : 245,925 = 245,925 : x
  2. Step 2: Convert to fraction form
    164,193/245,925 = 245,925/x
  3. Step 3: Cross multiply
    164,193x = 245,925 × 245,925
  4. Step 4: Simplify right side
    164,193x = 60,479,105,625
  5. Step 5: Solve for x
    x = 60,479,105,625/164,193
  6. Step 6: Final answer
    x = 368,341.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.