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Finding the Third Proportional to 229,542.75 and 322,674.19

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Solution

The third proportional to 229,542.75 and 322,674.19 is: 453,591.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542.75 : 322,674.19 = 322,674.19 : x
  2. Step 2: Convert to fraction form
    229,542.75/322,674.19 = 322,674.19/x
  3. Step 3: Cross multiply
    229,542.75x = 322,674.19 × 322,674.19
  4. Step 4: Simplify right side
    229,542.75x = 104,118,631,278.79
  5. Step 5: Solve for x
    x = 104,118,631,278.79/229,542.75
  6. Step 6: Final answer
    x = 453,591.46

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.