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Finding the Third Proportional to 221,636.25 and 459,037.13

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Solution

The third proportional to 221,636.25 and 459,037.13 is: 950,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,636.25 : 459,037.13 = 459,037.13 : x
  2. Step 2: Convert to fraction form
    221,636.25/459,037.13 = 459,037.13/x
  3. Step 3: Cross multiply
    221,636.25x = 459,037.13 × 459,037.13
  4. Step 4: Simplify right side
    221,636.25x = 210,715,082,128.27
  5. Step 5: Solve for x
    x = 210,715,082,128.27/221,636.25
  6. Step 6: Final answer
    x = 950,724.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.