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Finding the Third Proportional to 223,022.25 and 359,097.75

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Solution

The third proportional to 223,022.25 and 359,097.75 is: 578,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,022.25 : 359,097.75 = 359,097.75 : x
  2. Step 2: Convert to fraction form
    223,022.25/359,097.75 = 359,097.75/x
  3. Step 3: Cross multiply
    223,022.25x = 359,097.75 × 359,097.75
  4. Step 4: Simplify right side
    223,022.25x = 128,951,194,055.06
  5. Step 5: Solve for x
    x = 128,951,194,055.06/223,022.25
  6. Step 6: Final answer
    x = 578,198.79

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.