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Finding the Third Proportional to 228,758 and 330,014

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Solution

The third proportional to 228,758 and 330,014 is: 476,089.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,758 : 330,014 = 330,014 : x
  2. Step 2: Convert to fraction form
    228,758/330,014 = 330,014/x
  3. Step 3: Cross multiply
    228,758x = 330,014 × 330,014
  4. Step 4: Simplify right side
    228,758x = 108,909,240,196
  5. Step 5: Solve for x
    x = 108,909,240,196/228,758
  6. Step 6: Final answer
    x = 476,089.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.