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Finding the Third Proportional to 223,200.25 and 481,684.25

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Solution

The third proportional to 223,200.25 and 481,684.25 is: 1,039,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.25 : 481,684.25 = 481,684.25 : x
  2. Step 2: Convert to fraction form
    223,200.25/481,684.25 = 481,684.25/x
  3. Step 3: Cross multiply
    223,200.25x = 481,684.25 × 481,684.25
  4. Step 4: Simplify right side
    223,200.25x = 232,019,716,698.06
  5. Step 5: Solve for x
    x = 232,019,716,698.06/223,200.25
  6. Step 6: Final answer
    x = 1,039,513.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.