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Finding the Third Proportional to 241,776 and 339,875

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Solution

The third proportional to 241,776 and 339,875 is: 477,777.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,776 : 339,875 = 339,875 : x
  2. Step 2: Convert to fraction form
    241,776/339,875 = 339,875/x
  3. Step 3: Cross multiply
    241,776x = 339,875 × 339,875
  4. Step 4: Simplify right side
    241,776x = 115,515,015,625
  5. Step 5: Solve for x
    x = 115,515,015,625/241,776
  6. Step 6: Final answer
    x = 477,777.02

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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.