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Finding the Third Proportional to 154,611 and 225,355.50

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Solution

The third proportional to 154,611 and 225,355.50 is: 328,470.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,611 : 225,355.50 = 225,355.50 : x
  2. Step 2: Convert to fraction form
    154,611/225,355.50 = 225,355.50/x
  3. Step 3: Cross multiply
    154,611x = 225,355.50 × 225,355.50
  4. Step 4: Simplify right side
    154,611x = 50,785,101,380.25
  5. Step 5: Solve for x
    x = 50,785,101,380.25/154,611
  6. Step 6: Final answer
    x = 328,470.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.