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Finding the Third Proportional to 166,038.75 and 356,265.56

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Solution

The third proportional to 166,038.75 and 356,265.56 is: 764,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,038.75 : 356,265.56 = 356,265.56 : x
  2. Step 2: Convert to fraction form
    166,038.75/356,265.56 = 356,265.56/x
  3. Step 3: Cross multiply
    166,038.75x = 356,265.56 × 356,265.56
  4. Step 4: Simplify right side
    166,038.75x = 126,925,151,023.44
  5. Step 5: Solve for x
    x = 126,925,151,023.44/166,038.75
  6. Step 6: Final answer
    x = 764,430.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.