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Finding the Third Proportional to 117,984 and 259,296

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Solution

The third proportional to 117,984 and 259,296 is: 569,860.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,984 : 259,296 = 259,296 : x
  2. Step 2: Convert to fraction form
    117,984/259,296 = 259,296/x
  3. Step 3: Cross multiply
    117,984x = 259,296 × 259,296
  4. Step 4: Simplify right side
    117,984x = 67,234,415,616
  5. Step 5: Solve for x
    x = 67,234,415,616/117,984
  6. Step 6: Final answer
    x = 569,860.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.