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Finding the Third Proportional to 103,349 and 218,997

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Solution

The third proportional to 103,349 and 218,997 is: 464,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,349 : 218,997 = 218,997 : x
  2. Step 2: Convert to fraction form
    103,349/218,997 = 218,997/x
  3. Step 3: Cross multiply
    103,349x = 218,997 × 218,997
  4. Step 4: Simplify right side
    103,349x = 47,959,686,009
  5. Step 5: Solve for x
    x = 47,959,686,009/103,349
  6. Step 6: Final answer
    x = 464,055.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.