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Finding the Third Proportional to 115,336 and 255,722

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Solution

The third proportional to 115,336 and 255,722 is: 566,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,336 : 255,722 = 255,722 : x
  2. Step 2: Convert to fraction form
    115,336/255,722 = 255,722/x
  3. Step 3: Cross multiply
    115,336x = 255,722 × 255,722
  4. Step 4: Simplify right side
    115,336x = 65,393,741,284
  5. Step 5: Solve for x
    x = 65,393,741,284/115,336
  6. Step 6: Final answer
    x = 566,984.65

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.