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Finding the Third Proportional to 264,867 and 340,083

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Solution

The third proportional to 264,867 and 340,083 is: 436,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,867 : 340,083 = 340,083 : x
  2. Step 2: Convert to fraction form
    264,867/340,083 = 340,083/x
  3. Step 3: Cross multiply
    264,867x = 340,083 × 340,083
  4. Step 4: Simplify right side
    264,867x = 115,656,446,889
  5. Step 5: Solve for x
    x = 115,656,446,889/264,867
  6. Step 6: Final answer
    x = 436,658.58

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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.