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Finding the Third Proportional to 144,450 and 322,094

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Solution

The third proportional to 144,450 and 322,094 is: 718,203.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,450 : 322,094 = 322,094 : x
  2. Step 2: Convert to fraction form
    144,450/322,094 = 322,094/x
  3. Step 3: Cross multiply
    144,450x = 322,094 × 322,094
  4. Step 4: Simplify right side
    144,450x = 103,744,544,836
  5. Step 5: Solve for x
    x = 103,744,544,836/144,450
  6. Step 6: Final answer
    x = 718,203.84

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.