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Finding the Third Proportional to 122,616 and 264,015

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Solution

The third proportional to 122,616 and 264,015 is: 568,473.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,616 : 264,015 = 264,015 : x
  2. Step 2: Convert to fraction form
    122,616/264,015 = 264,015/x
  3. Step 3: Cross multiply
    122,616x = 264,015 × 264,015
  4. Step 4: Simplify right side
    122,616x = 69,703,920,225
  5. Step 5: Solve for x
    x = 69,703,920,225/122,616
  6. Step 6: Final answer
    x = 568,473.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.