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Finding the Third Proportional to 210,758 and 374,734

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Solution

The third proportional to 210,758 and 374,734 is: 666,288.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,758 : 374,734 = 374,734 : x
  2. Step 2: Convert to fraction form
    210,758/374,734 = 374,734/x
  3. Step 3: Cross multiply
    210,758x = 374,734 × 374,734
  4. Step 4: Simplify right side
    210,758x = 140,425,570,756
  5. Step 5: Solve for x
    x = 140,425,570,756/210,758
  6. Step 6: Final answer
    x = 666,288.21

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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.