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Finding the Third Proportional to 241,776 and 367,992

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Solution

The third proportional to 241,776 and 367,992 is: 560,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,776 : 367,992 = 367,992 : x
  2. Step 2: Convert to fraction form
    241,776/367,992 = 367,992/x
  3. Step 3: Cross multiply
    241,776x = 367,992 × 367,992
  4. Step 4: Simplify right side
    241,776x = 135,418,112,064
  5. Step 5: Solve for x
    x = 135,418,112,064/241,776
  6. Step 6: Final answer
    x = 560,097.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.