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Finding the Third Proportional to 111,901 and 248,666

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Solution

The third proportional to 111,901 and 248,666 is: 552,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,901 : 248,666 = 248,666 : x
  2. Step 2: Convert to fraction form
    111,901/248,666 = 248,666/x
  3. Step 3: Cross multiply
    111,901x = 248,666 × 248,666
  4. Step 4: Simplify right side
    111,901x = 61,834,779,556
  5. Step 5: Solve for x
    x = 61,834,779,556/111,901
  6. Step 6: Final answer
    x = 552,584.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.