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Finding the Third Proportional to 174,834 and 264,699

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Solution

The third proportional to 174,834 and 264,699 is: 400,754.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,834 : 264,699 = 264,699 : x
  2. Step 2: Convert to fraction form
    174,834/264,699 = 264,699/x
  3. Step 3: Cross multiply
    174,834x = 264,699 × 264,699
  4. Step 4: Simplify right side
    174,834x = 70,065,560,601
  5. Step 5: Solve for x
    x = 70,065,560,601/174,834
  6. Step 6: Final answer
    x = 400,754.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.