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Finding the Third Proportional to 120,838 and 264,917

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Solution

The third proportional to 120,838 and 264,917 is: 580,785.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838 : 264,917 = 264,917 : x
  2. Step 2: Convert to fraction form
    120,838/264,917 = 264,917/x
  3. Step 3: Cross multiply
    120,838x = 264,917 × 264,917
  4. Step 4: Simplify right side
    120,838x = 70,181,016,889
  5. Step 5: Solve for x
    x = 70,181,016,889/120,838
  6. Step 6: Final answer
    x = 580,785.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.