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Finding the Third Proportional to 102,256 and 218,728

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Solution

The third proportional to 102,256 and 218,728 is: 467,864.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256 : 218,728 = 218,728 : x
  2. Step 2: Convert to fraction form
    102,256/218,728 = 218,728/x
  3. Step 3: Cross multiply
    102,256x = 218,728 × 218,728
  4. Step 4: Simplify right side
    102,256x = 47,841,937,984
  5. Step 5: Solve for x
    x = 47,841,937,984/102,256
  6. Step 6: Final answer
    x = 467,864.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.