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Finding the Third Proportional to 111,902 and 248,668

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Solution

The third proportional to 111,902 and 248,668 is: 552,588.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,902 : 248,668 = 248,668 : x
  2. Step 2: Convert to fraction form
    111,902/248,668 = 248,668/x
  3. Step 3: Cross multiply
    111,902x = 248,668 × 248,668
  4. Step 4: Simplify right side
    111,902x = 61,835,774,224
  5. Step 5: Solve for x
    x = 61,835,774,224/111,902
  6. Step 6: Final answer
    x = 552,588.64

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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.