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Finding the Third Proportional to 210,768 and 374,754

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Solution

The third proportional to 210,768 and 374,754 is: 666,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,768 : 374,754 = 374,754 : x
  2. Step 2: Convert to fraction form
    210,768/374,754 = 374,754/x
  3. Step 3: Cross multiply
    210,768x = 374,754 × 374,754
  4. Step 4: Simplify right side
    210,768x = 140,440,560,516
  5. Step 5: Solve for x
    x = 140,440,560,516/210,768
  6. Step 6: Final answer
    x = 666,327.72

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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.