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Finding the Third Proportional to 224,190 and 469,152

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Solution

The third proportional to 224,190 and 469,152 is: 981,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,190 : 469,152 = 469,152 : x
  2. Step 2: Convert to fraction form
    224,190/469,152 = 469,152/x
  3. Step 3: Cross multiply
    224,190x = 469,152 × 469,152
  4. Step 4: Simplify right side
    224,190x = 220,103,599,104
  5. Step 5: Solve for x
    x = 220,103,599,104/224,190
  6. Step 6: Final answer
    x = 981,772.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.