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Finding the Third Proportional to 121,206 and 264,444

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Solution

The third proportional to 121,206 and 264,444 is: 576,956.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,206 : 264,444 = 264,444 : x
  2. Step 2: Convert to fraction form
    121,206/264,444 = 264,444/x
  3. Step 3: Cross multiply
    121,206x = 264,444 × 264,444
  4. Step 4: Simplify right side
    121,206x = 69,930,629,136
  5. Step 5: Solve for x
    x = 69,930,629,136/121,206
  6. Step 6: Final answer
    x = 576,956.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.