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Finding the Third Proportional to 155,900 and 228,014

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Solution

The third proportional to 155,900 and 228,014 is: 333,485.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,900 : 228,014 = 228,014 : x
  2. Step 2: Convert to fraction form
    155,900/228,014 = 228,014/x
  3. Step 3: Cross multiply
    155,900x = 228,014 × 228,014
  4. Step 4: Simplify right side
    155,900x = 51,990,384,196
  5. Step 5: Solve for x
    x = 51,990,384,196/155,900
  6. Step 6: Final answer
    x = 333,485.47

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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.