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Finding the Third Proportional to 142,193 and 311,170

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Solution

The third proportional to 142,193 and 311,170 is: 680,953.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,193 : 311,170 = 311,170 : x
  2. Step 2: Convert to fraction form
    142,193/311,170 = 311,170/x
  3. Step 3: Cross multiply
    142,193x = 311,170 × 311,170
  4. Step 4: Simplify right side
    142,193x = 96,826,768,900
  5. Step 5: Solve for x
    x = 96,826,768,900/142,193
  6. Step 6: Final answer
    x = 680,953.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.