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Finding the Third Proportional to 146,040.75 and 213,315.75

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Solution

The third proportional to 146,040.75 and 213,315.75 is: 311,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,040.75 : 213,315.75 = 213,315.75 : x
  2. Step 2: Convert to fraction form
    146,040.75/213,315.75 = 213,315.75/x
  3. Step 3: Cross multiply
    146,040.75x = 213,315.75 × 213,315.75
  4. Step 4: Simplify right side
    146,040.75x = 45,503,609,198.06
  5. Step 5: Solve for x
    x = 45,503,609,198.06/146,040.75
  6. Step 6: Final answer
    x = 311,581.59

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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.