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Finding the Third Proportional to 107,404.75 and 235,466.75

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Solution

The third proportional to 107,404.75 and 235,466.75 is: 516,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,404.75 : 235,466.75 = 235,466.75 : x
  2. Step 2: Convert to fraction form
    107,404.75/235,466.75 = 235,466.75/x
  3. Step 3: Cross multiply
    107,404.75x = 235,466.75 × 235,466.75
  4. Step 4: Simplify right side
    107,404.75x = 55,444,590,355.56
  5. Step 5: Solve for x
    x = 55,444,590,355.56/107,404.75
  6. Step 6: Final answer
    x = 516,221.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.