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Finding the Third Proportional to 145,251 and 220,050

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Solution

The third proportional to 145,251 and 220,050 is: 333,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,251 : 220,050 = 220,050 : x
  2. Step 2: Convert to fraction form
    145,251/220,050 = 220,050/x
  3. Step 3: Cross multiply
    145,251x = 220,050 × 220,050
  4. Step 4: Simplify right side
    145,251x = 48,422,002,500
  5. Step 5: Solve for x
    x = 48,422,002,500/145,251
  6. Step 6: Final answer
    x = 333,367.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.