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Finding the Third Proportional to 228,240 and 333,906

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Solution

The third proportional to 228,240 and 333,906 is: 488,491.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,240 : 333,906 = 333,906 : x
  2. Step 2: Convert to fraction form
    228,240/333,906 = 333,906/x
  3. Step 3: Cross multiply
    228,240x = 333,906 × 333,906
  4. Step 4: Simplify right side
    228,240x = 111,493,216,836
  5. Step 5: Solve for x
    x = 111,493,216,836/228,240
  6. Step 6: Final answer
    x = 488,491.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.