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Finding the Third Proportional to 222,054.75 and 337,235.63

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Solution

The third proportional to 222,054.75 and 337,235.63 is: 512,161.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,054.75 : 337,235.63 = 337,235.63 : x
  2. Step 2: Convert to fraction form
    222,054.75/337,235.63 = 337,235.63/x
  3. Step 3: Cross multiply
    222,054.75x = 337,235.63 × 337,235.63
  4. Step 4: Simplify right side
    222,054.75x = 113,727,866,769.14
  5. Step 5: Solve for x
    x = 113,727,866,769.14/222,054.75
  6. Step 6: Final answer
    x = 512,161.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.