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Finding the Third Proportional to 176,914 and 264,723

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Solution

The third proportional to 176,914 and 264,723 is: 396,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,914 : 264,723 = 264,723 : x
  2. Step 2: Convert to fraction form
    176,914/264,723 = 264,723/x
  3. Step 3: Cross multiply
    176,914x = 264,723 × 264,723
  4. Step 4: Simplify right side
    176,914x = 70,078,266,729
  5. Step 5: Solve for x
    x = 70,078,266,729/176,914
  6. Step 6: Final answer
    x = 396,114.87

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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.