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Finding the Third Proportional to 101,326 and 234,569

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Solution

The third proportional to 101,326 and 234,569 is: 543,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,326 : 234,569 = 234,569 : x
  2. Step 2: Convert to fraction form
    101,326/234,569 = 234,569/x
  3. Step 3: Cross multiply
    101,326x = 234,569 × 234,569
  4. Step 4: Simplify right side
    101,326x = 55,022,615,761
  5. Step 5: Solve for x
    x = 55,022,615,761/101,326
  6. Step 6: Final answer
    x = 543,025.64

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.