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Finding the Third Proportional to 224,148 and 312,204

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Solution

The third proportional to 224,148 and 312,204 is: 434,852.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,148 : 312,204 = 312,204 : x
  2. Step 2: Convert to fraction form
    224,148/312,204 = 312,204/x
  3. Step 3: Cross multiply
    224,148x = 312,204 × 312,204
  4. Step 4: Simplify right side
    224,148x = 97,471,337,616
  5. Step 5: Solve for x
    x = 97,471,337,616/224,148
  6. Step 6: Final answer
    x = 434,852.59

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.