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Finding the Third Proportional to 122,758 and 264,848

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Solution

The third proportional to 122,758 and 264,848 is: 571,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,758 : 264,848 = 264,848 : x
  2. Step 2: Convert to fraction form
    122,758/264,848 = 264,848/x
  3. Step 3: Cross multiply
    122,758x = 264,848 × 264,848
  4. Step 4: Simplify right side
    122,758x = 70,144,463,104
  5. Step 5: Solve for x
    x = 70,144,463,104/122,758
  6. Step 6: Final answer
    x = 571,404.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.