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Finding the Third Proportional to 224,157 and 469,086

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Solution

The third proportional to 224,157 and 469,086 is: 981,640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,157 : 469,086 = 469,086 : x
  2. Step 2: Convert to fraction form
    224,157/469,086 = 469,086/x
  3. Step 3: Cross multiply
    224,157x = 469,086 × 469,086
  4. Step 4: Simplify right side
    224,157x = 220,041,675,396
  5. Step 5: Solve for x
    x = 220,041,675,396/224,157
  6. Step 6: Final answer
    x = 981,640.88

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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.