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Finding the Third Proportional to 106,647.75 and 233,322.75

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Solution

The third proportional to 106,647.75 and 233,322.75 is: 510,460.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,647.75 : 233,322.75 = 233,322.75 : x
  2. Step 2: Convert to fraction form
    106,647.75/233,322.75 = 233,322.75/x
  3. Step 3: Cross multiply
    106,647.75x = 233,322.75 × 233,322.75
  4. Step 4: Simplify right side
    106,647.75x = 54,439,505,667.56
  5. Step 5: Solve for x
    x = 54,439,505,667.56/106,647.75
  6. Step 6: Final answer
    x = 510,460.89

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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.