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Finding the Third Proportional to 111,922 and 240,408

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Solution

The third proportional to 111,922 and 240,408 is: 516,395.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,922 : 240,408 = 240,408 : x
  2. Step 2: Convert to fraction form
    111,922/240,408 = 240,408/x
  3. Step 3: Cross multiply
    111,922x = 240,408 × 240,408
  4. Step 4: Simplify right side
    111,922x = 57,796,006,464
  5. Step 5: Solve for x
    x = 57,796,006,464/111,922
  6. Step 6: Final answer
    x = 516,395.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.