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Finding the Third Proportional to 231,145 and 500,197

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Solution

The third proportional to 231,145 and 500,197 is: 1,082,424.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,145 : 500,197 = 500,197 : x
  2. Step 2: Convert to fraction form
    231,145/500,197 = 500,197/x
  3. Step 3: Cross multiply
    231,145x = 500,197 × 500,197
  4. Step 4: Simplify right side
    231,145x = 250,197,038,809
  5. Step 5: Solve for x
    x = 250,197,038,809/231,145
  6. Step 6: Final answer
    x = 1,082,424.62

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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.