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Finding the Third Proportional to 222,053.75 and 320,505.75

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Solution

The third proportional to 222,053.75 and 320,505.75 is: 462,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,053.75 : 320,505.75 = 320,505.75 : x
  2. Step 2: Convert to fraction form
    222,053.75/320,505.75 = 320,505.75/x
  3. Step 3: Cross multiply
    222,053.75x = 320,505.75 × 320,505.75
  4. Step 4: Simplify right side
    222,053.75x = 102,723,935,783.06
  5. Step 5: Solve for x
    x = 102,723,935,783.06/222,053.75
  6. Step 6: Final answer
    x = 462,608.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.