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Finding the Third Proportional to 236,538 and 340,041

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Solution

The third proportional to 236,538 and 340,041 is: 488,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,538 : 340,041 = 340,041 : x
  2. Step 2: Convert to fraction form
    236,538/340,041 = 340,041/x
  3. Step 3: Cross multiply
    236,538x = 340,041 × 340,041
  4. Step 4: Simplify right side
    236,538x = 115,627,881,681
  5. Step 5: Solve for x
    x = 115,627,881,681/236,538
  6. Step 6: Final answer
    x = 488,834.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.