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Finding the Third Proportional to 228,098 and 333,219

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Solution

The third proportional to 228,098 and 333,219 is: 486,785.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,098 : 333,219 = 333,219 : x
  2. Step 2: Convert to fraction form
    228,098/333,219 = 333,219/x
  3. Step 3: Cross multiply
    228,098x = 333,219 × 333,219
  4. Step 4: Simplify right side
    228,098x = 111,034,901,961
  5. Step 5: Solve for x
    x = 111,034,901,961/228,098
  6. Step 6: Final answer
    x = 486,785.95

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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.