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Finding the Third Proportional to 146,994.75 and 321,999.75

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Solution

The third proportional to 146,994.75 and 321,999.75 is: 705,357.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,994.75 : 321,999.75 = 321,999.75 : x
  2. Step 2: Convert to fraction form
    146,994.75/321,999.75 = 321,999.75/x
  3. Step 3: Cross multiply
    146,994.75x = 321,999.75 × 321,999.75
  4. Step 4: Simplify right side
    146,994.75x = 103,683,839,000.06
  5. Step 5: Solve for x
    x = 103,683,839,000.06/146,994.75
  6. Step 6: Final answer
    x = 705,357.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.