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Finding the Third Proportional to 177,452.44 and 384,414.19

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Solution

The third proportional to 177,452.44 and 384,414.19 is: 832,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,452.44 : 384,414.19 = 384,414.19 : x
  2. Step 2: Convert to fraction form
    177,452.44/384,414.19 = 384,414.19/x
  3. Step 3: Cross multiply
    177,452.44x = 384,414.19 × 384,414.19
  4. Step 4: Simplify right side
    177,452.44x = 147,774,267,551.29
  5. Step 5: Solve for x
    x = 147,774,267,551.29/177,452.44
  6. Step 6: Final answer
    x = 832,754.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.