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Finding the Third Proportional to 231,159 and 500,223

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Solution

The third proportional to 231,159 and 500,223 is: 1,082,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,159 : 500,223 = 500,223 : x
  2. Step 2: Convert to fraction form
    231,159/500,223 = 500,223/x
  3. Step 3: Cross multiply
    231,159x = 500,223 × 500,223
  4. Step 4: Simplify right side
    231,159x = 250,223,049,729
  5. Step 5: Solve for x
    x = 250,223,049,729/231,159
  6. Step 6: Final answer
    x = 1,082,471.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.