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Finding the Third Proportional to 111,237 and 239,973

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Solution

The third proportional to 111,237 and 239,973 is: 517,696.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,237 : 239,973 = 239,973 : x
  2. Step 2: Convert to fraction form
    111,237/239,973 = 239,973/x
  3. Step 3: Cross multiply
    111,237x = 239,973 × 239,973
  4. Step 4: Simplify right side
    111,237x = 57,587,040,729
  5. Step 5: Solve for x
    x = 57,587,040,729/111,237
  6. Step 6: Final answer
    x = 517,696.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.