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Finding the Third Proportional to 111,240 and 229,860

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Solution

The third proportional to 111,240 and 229,860 is: 474,969.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,240 : 229,860 = 229,860 : x
  2. Step 2: Convert to fraction form
    111,240/229,860 = 229,860/x
  3. Step 3: Cross multiply
    111,240x = 229,860 × 229,860
  4. Step 4: Simplify right side
    111,240x = 52,835,619,600
  5. Step 5: Solve for x
    x = 52,835,619,600/111,240
  6. Step 6: Final answer
    x = 474,969.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.