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Finding the Third Proportional to 114,138 and 231,732

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Solution

The third proportional to 114,138 and 231,732 is: 470,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,138 : 231,732 = 231,732 : x
  2. Step 2: Convert to fraction form
    114,138/231,732 = 231,732/x
  3. Step 3: Cross multiply
    114,138x = 231,732 × 231,732
  4. Step 4: Simplify right side
    114,138x = 53,699,719,824
  5. Step 5: Solve for x
    x = 53,699,719,824/114,138
  6. Step 6: Final answer
    x = 470,480.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.