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Finding the Third Proportional to 122,667 and 264,678

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Solution

The third proportional to 122,667 and 264,678 is: 571,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,667 : 264,678 = 264,678 : x
  2. Step 2: Convert to fraction form
    122,667/264,678 = 264,678/x
  3. Step 3: Cross multiply
    122,667x = 264,678 × 264,678
  4. Step 4: Simplify right side
    122,667x = 70,054,443,684
  5. Step 5: Solve for x
    x = 70,054,443,684/122,667
  6. Step 6: Final answer
    x = 571,094.46

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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.