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Finding the Third Proportional to 115,722 and 240,656

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Solution

The third proportional to 115,722 and 240,656 is: 500,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,722 : 240,656 = 240,656 : x
  2. Step 2: Convert to fraction form
    115,722/240,656 = 240,656/x
  3. Step 3: Cross multiply
    115,722x = 240,656 × 240,656
  4. Step 4: Simplify right side
    115,722x = 57,915,310,336
  5. Step 5: Solve for x
    x = 57,915,310,336/115,722
  6. Step 6: Final answer
    x = 500,469.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.