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Finding the Third Proportional to 222,096.94 and 357,673.22

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Solution

The third proportional to 222,096.94 and 357,673.22 is: 576,010.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,096.94 : 357,673.22 = 357,673.22 : x
  2. Step 2: Convert to fraction form
    222,096.94/357,673.22 = 357,673.22/x
  3. Step 3: Cross multiply
    222,096.94x = 357,673.22 × 357,673.22
  4. Step 4: Simplify right side
    222,096.94x = 127,930,131,410.99
  5. Step 5: Solve for x
    x = 127,930,131,410.99/222,096.94
  6. Step 6: Final answer
    x = 576,010.34

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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.