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Finding the Third Proportional to 111,002 and 242,740

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Solution

The third proportional to 111,002 and 242,740 is: 530,825.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,002 : 242,740 = 242,740 : x
  2. Step 2: Convert to fraction form
    111,002/242,740 = 242,740/x
  3. Step 3: Cross multiply
    111,002x = 242,740 × 242,740
  4. Step 4: Simplify right side
    111,002x = 58,922,707,600
  5. Step 5: Solve for x
    x = 58,922,707,600/111,002
  6. Step 6: Final answer
    x = 530,825.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.