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Finding the Third Proportional to 117,986 and 254,740

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Solution

The third proportional to 117,986 and 254,740 is: 550,001.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,986 : 254,740 = 254,740 : x
  2. Step 2: Convert to fraction form
    117,986/254,740 = 254,740/x
  3. Step 3: Cross multiply
    117,986x = 254,740 × 254,740
  4. Step 4: Simplify right side
    117,986x = 64,892,467,600
  5. Step 5: Solve for x
    x = 64,892,467,600/117,986
  6. Step 6: Final answer
    x = 550,001.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.