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Finding the Third Proportional to 264,869 and 340,086

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Solution

The third proportional to 264,869 and 340,086 is: 436,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,869 : 340,086 = 340,086 : x
  2. Step 2: Convert to fraction form
    264,869/340,086 = 340,086/x
  3. Step 3: Cross multiply
    264,869x = 340,086 × 340,086
  4. Step 4: Simplify right side
    264,869x = 115,658,487,396
  5. Step 5: Solve for x
    x = 115,658,487,396/264,869
  6. Step 6: Final answer
    x = 436,662.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.