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Finding the Third Proportional to 114,467 and 248,629

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Solution

The third proportional to 114,467 and 248,629 is: 540,036.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,467 : 248,629 = 248,629 : x
  2. Step 2: Convert to fraction form
    114,467/248,629 = 248,629/x
  3. Step 3: Cross multiply
    114,467x = 248,629 × 248,629
  4. Step 4: Simplify right side
    114,467x = 61,816,379,641
  5. Step 5: Solve for x
    x = 61,816,379,641/114,467
  6. Step 6: Final answer
    x = 540,036.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.