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Finding the Third Proportional to 116,038 and 246,728

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Solution

The third proportional to 116,038 and 246,728 is: 524,610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,038 : 246,728 = 246,728 : x
  2. Step 2: Convert to fraction form
    116,038/246,728 = 246,728/x
  3. Step 3: Cross multiply
    116,038x = 246,728 × 246,728
  4. Step 4: Simplify right side
    116,038x = 60,874,705,984
  5. Step 5: Solve for x
    x = 60,874,705,984/116,038
  6. Step 6: Final answer
    x = 524,610.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.