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Finding the Third Proportional to 119,333 and 259,969

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Solution

The third proportional to 119,333 and 259,969 is: 566,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,333 : 259,969 = 259,969 : x
  2. Step 2: Convert to fraction form
    119,333/259,969 = 259,969/x
  3. Step 3: Cross multiply
    119,333x = 259,969 × 259,969
  4. Step 4: Simplify right side
    119,333x = 67,583,880,961
  5. Step 5: Solve for x
    x = 67,583,880,961/119,333
  6. Step 6: Final answer
    x = 566,346.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.