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Finding the Third Proportional to 102,816 and 237,997

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Solution

The third proportional to 102,816 and 237,997 is: 550,912.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,816 : 237,997 = 237,997 : x
  2. Step 2: Convert to fraction form
    102,816/237,997 = 237,997/x
  3. Step 3: Cross multiply
    102,816x = 237,997 × 237,997
  4. Step 4: Simplify right side
    102,816x = 56,642,572,009
  5. Step 5: Solve for x
    x = 56,642,572,009/102,816
  6. Step 6: Final answer
    x = 550,912.04

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.