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Finding the Third Proportional to 114,251 and 182,447

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Solution

The third proportional to 114,251 and 182,447 is: 291,348.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251 : 182,447 = 182,447 : x
  2. Step 2: Convert to fraction form
    114,251/182,447 = 182,447/x
  3. Step 3: Cross multiply
    114,251x = 182,447 × 182,447
  4. Step 4: Simplify right side
    114,251x = 33,286,907,809
  5. Step 5: Solve for x
    x = 33,286,907,809/114,251
  6. Step 6: Final answer
    x = 291,348.94

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.