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Finding the Third Proportional to 148,234 and 325,990

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Solution

The third proportional to 148,234 and 325,990 is: 716,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,234 : 325,990 = 325,990 : x
  2. Step 2: Convert to fraction form
    148,234/325,990 = 325,990/x
  3. Step 3: Cross multiply
    148,234x = 325,990 × 325,990
  4. Step 4: Simplify right side
    148,234x = 106,269,480,100
  5. Step 5: Solve for x
    x = 106,269,480,100/148,234
  6. Step 6: Final answer
    x = 716,903.55

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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.