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Finding the Third Proportional to 107,326 and 233,104

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Solution

The third proportional to 107,326 and 233,104 is: 506,284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,326 : 233,104 = 233,104 : x
  2. Step 2: Convert to fraction form
    107,326/233,104 = 233,104/x
  3. Step 3: Cross multiply
    107,326x = 233,104 × 233,104
  4. Step 4: Simplify right side
    107,326x = 54,337,474,816
  5. Step 5: Solve for x
    x = 54,337,474,816/107,326
  6. Step 6: Final answer
    x = 506,284.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.