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Finding the Third Proportional to 146,022.75 and 213,293.25

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Solution

The third proportional to 146,022.75 and 213,293.25 is: 311,554.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022.75 : 213,293.25 = 213,293.25 : x
  2. Step 2: Convert to fraction form
    146,022.75/213,293.25 = 213,293.25/x
  3. Step 3: Cross multiply
    146,022.75x = 213,293.25 × 213,293.25
  4. Step 4: Simplify right side
    146,022.75x = 45,494,010,495.56
  5. Step 5: Solve for x
    x = 45,494,010,495.56/146,022.75
  6. Step 6: Final answer
    x = 311,554.26

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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.