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Finding the Third Proportional to 102,600 and 244,512

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Solution

The third proportional to 102,600 and 244,512 is: 582,710.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,600 : 244,512 = 244,512 : x
  2. Step 2: Convert to fraction form
    102,600/244,512 = 244,512/x
  3. Step 3: Cross multiply
    102,600x = 244,512 × 244,512
  4. Step 4: Simplify right side
    102,600x = 59,786,118,144
  5. Step 5: Solve for x
    x = 59,786,118,144/102,600
  6. Step 6: Final answer
    x = 582,710.70

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.