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Finding the Third Proportional to 114,903 and 248,253

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Solution

The third proportional to 114,903 and 248,253 is: 536,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,903 : 248,253 = 248,253 : x
  2. Step 2: Convert to fraction form
    114,903/248,253 = 248,253/x
  3. Step 3: Cross multiply
    114,903x = 248,253 × 248,253
  4. Step 4: Simplify right side
    114,903x = 61,629,552,009
  5. Step 5: Solve for x
    x = 61,629,552,009/114,903
  6. Step 6: Final answer
    x = 536,361.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.