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Finding the Third Proportional to 168,176 and 252,970

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Solution

The third proportional to 168,176 and 252,970 is: 380,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,176 : 252,970 = 252,970 : x
  2. Step 2: Convert to fraction form
    168,176/252,970 = 252,970/x
  3. Step 3: Cross multiply
    168,176x = 252,970 × 252,970
  4. Step 4: Simplify right side
    168,176x = 63,993,820,900
  5. Step 5: Solve for x
    x = 63,993,820,900/168,176
  6. Step 6: Final answer
    x = 380,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.