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Finding the Third Proportional to 228,138 and 333,279

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Solution

The third proportional to 228,138 and 333,279 is: 486,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,138 : 333,279 = 333,279 : x
  2. Step 2: Convert to fraction form
    228,138/333,279 = 333,279/x
  3. Step 3: Cross multiply
    228,138x = 333,279 × 333,279
  4. Step 4: Simplify right side
    228,138x = 111,074,891,841
  5. Step 5: Solve for x
    x = 111,074,891,841/228,138
  6. Step 6: Final answer
    x = 486,875.89

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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.