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Finding the Third Proportional to 117,777 and 241,791

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Solution

The third proportional to 117,777 and 241,791 is: 496,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,777 : 241,791 = 241,791 : x
  2. Step 2: Convert to fraction form
    117,777/241,791 = 241,791/x
  3. Step 3: Cross multiply
    117,777x = 241,791 × 241,791
  4. Step 4: Simplify right side
    117,777x = 58,462,887,681
  5. Step 5: Solve for x
    x = 58,462,887,681/117,777
  6. Step 6: Final answer
    x = 496,386.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.