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Finding the Third Proportional to 111,021 and 240,762

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Solution

The third proportional to 111,021 and 240,762 is: 522,120.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,021 : 240,762 = 240,762 : x
  2. Step 2: Convert to fraction form
    111,021/240,762 = 240,762/x
  3. Step 3: Cross multiply
    111,021x = 240,762 × 240,762
  4. Step 4: Simplify right side
    111,021x = 57,966,340,644
  5. Step 5: Solve for x
    x = 57,966,340,644/111,021
  6. Step 6: Final answer
    x = 522,120.51

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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.