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Finding the Third Proportional to 174,017 and 231,379

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Solution

The third proportional to 174,017 and 231,379 is: 307,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,017 : 231,379 = 231,379 : x
  2. Step 2: Convert to fraction form
    174,017/231,379 = 231,379/x
  3. Step 3: Cross multiply
    174,017x = 231,379 × 231,379
  4. Step 4: Simplify right side
    174,017x = 53,536,241,641
  5. Step 5: Solve for x
    x = 53,536,241,641/174,017
  6. Step 6: Final answer
    x = 307,649.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.