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Finding the Third Proportional to 177,558.75 and 380,097.56

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Solution

The third proportional to 177,558.75 and 380,097.56 is: 813,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,558.75 : 380,097.56 = 380,097.56 : x
  2. Step 2: Convert to fraction form
    177,558.75/380,097.56 = 380,097.56/x
  3. Step 3: Cross multiply
    177,558.75x = 380,097.56 × 380,097.56
  4. Step 4: Simplify right side
    177,558.75x = 144,474,157,018.44
  5. Step 5: Solve for x
    x = 144,474,157,018.44/177,558.75
  6. Step 6: Final answer
    x = 813,669.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.