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Finding the Third Proportional to 116,569 and 251,745

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Solution

The third proportional to 116,569 and 251,745 is: 543,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569 : 251,745 = 251,745 : x
  2. Step 2: Convert to fraction form
    116,569/251,745 = 251,745/x
  3. Step 3: Cross multiply
    116,569x = 251,745 × 251,745
  4. Step 4: Simplify right side
    116,569x = 63,375,545,025
  5. Step 5: Solve for x
    x = 63,375,545,025/116,569
  6. Step 6: Final answer
    x = 543,674.09

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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.