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Finding the Third Proportional to 104,006 and 231,376

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Solution

The third proportional to 104,006 and 231,376 is: 514,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,006 : 231,376 = 231,376 : x
  2. Step 2: Convert to fraction form
    104,006/231,376 = 231,376/x
  3. Step 3: Cross multiply
    104,006x = 231,376 × 231,376
  4. Step 4: Simplify right side
    104,006x = 53,534,853,376
  5. Step 5: Solve for x
    x = 53,534,853,376/104,006
  6. Step 6: Final answer
    x = 514,728.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.