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Finding the Third Proportional to 241,836 and 339,960

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Solution

The third proportional to 241,836 and 339,960 is: 477,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,836 : 339,960 = 339,960 : x
  2. Step 2: Convert to fraction form
    241,836/339,960 = 339,960/x
  3. Step 3: Cross multiply
    241,836x = 339,960 × 339,960
  4. Step 4: Simplify right side
    241,836x = 115,572,801,600
  5. Step 5: Solve for x
    x = 115,572,801,600/241,836
  6. Step 6: Final answer
    x = 477,897.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.