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Finding the Third Proportional to 122,633 and 264,614

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Solution

The third proportional to 122,633 and 264,614 is: 570,976.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,633 : 264,614 = 264,614 : x
  2. Step 2: Convert to fraction form
    122,633/264,614 = 264,614/x
  3. Step 3: Cross multiply
    122,633x = 264,614 × 264,614
  4. Step 4: Simplify right side
    122,633x = 70,020,568,996
  5. Step 5: Solve for x
    x = 70,020,568,996/122,633
  6. Step 6: Final answer
    x = 570,976.56

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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.