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Finding the Third Proportional to 107,823 and 235,224.75

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Solution

The third proportional to 107,823 and 235,224.75 is: 513,162.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823 : 235,224.75 = 235,224.75 : x
  2. Step 2: Convert to fraction form
    107,823/235,224.75 = 235,224.75/x
  3. Step 3: Cross multiply
    107,823x = 235,224.75 × 235,224.75
  4. Step 4: Simplify right side
    107,823x = 55,330,683,012.56
  5. Step 5: Solve for x
    x = 55,330,683,012.56/107,823
  6. Step 6: Final answer
    x = 513,162.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.