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Finding the Third Proportional to 107,884.50 and 235,453.50

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Solution

The third proportional to 107,884.50 and 235,453.50 is: 513,867.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,884.50 : 235,453.50 = 235,453.50 : x
  2. Step 2: Convert to fraction form
    107,884.50/235,453.50 = 235,453.50/x
  3. Step 3: Cross multiply
    107,884.50x = 235,453.50 × 235,453.50
  4. Step 4: Simplify right side
    107,884.50x = 55,438,350,662.25
  5. Step 5: Solve for x
    x = 55,438,350,662.25/107,884.50
  6. Step 6: Final answer
    x = 513,867.61

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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.