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Finding the Third Proportional to 171,672 and 231,011

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Solution

The third proportional to 171,672 and 231,011 is: 310,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,672 : 231,011 = 231,011 : x
  2. Step 2: Convert to fraction form
    171,672/231,011 = 231,011/x
  3. Step 3: Cross multiply
    171,672x = 231,011 × 231,011
  4. Step 4: Simplify right side
    171,672x = 53,366,082,121
  5. Step 5: Solve for x
    x = 53,366,082,121/171,672
  6. Step 6: Final answer
    x = 310,860.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.