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Finding the Third Proportional to 166,320 and 295,704

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Solution

The third proportional to 166,320 and 295,704 is: 525,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,320 : 295,704 = 295,704 : x
  2. Step 2: Convert to fraction form
    166,320/295,704 = 295,704/x
  3. Step 3: Cross multiply
    166,320x = 295,704 × 295,704
  4. Step 4: Simplify right side
    166,320x = 87,440,855,616
  5. Step 5: Solve for x
    x = 87,440,855,616/166,320
  6. Step 6: Final answer
    x = 525,738.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.