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Finding the Third Proportional to 120,758 and 264,844

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Solution

The third proportional to 120,758 and 264,844 is: 580,850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,758 : 264,844 = 264,844 : x
  2. Step 2: Convert to fraction form
    120,758/264,844 = 264,844/x
  3. Step 3: Cross multiply
    120,758x = 264,844 × 264,844
  4. Step 4: Simplify right side
    120,758x = 70,142,344,336
  5. Step 5: Solve for x
    x = 70,142,344,336/120,758
  6. Step 6: Final answer
    x = 580,850.50

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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.