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Finding the Third Proportional to 111,488 and 238,240

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Solution

The third proportional to 111,488 and 238,240 is: 509,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,488 : 238,240 = 238,240 : x
  2. Step 2: Convert to fraction form
    111,488/238,240 = 238,240/x
  3. Step 3: Cross multiply
    111,488x = 238,240 × 238,240
  4. Step 4: Simplify right side
    111,488x = 56,758,297,600
  5. Step 5: Solve for x
    x = 56,758,297,600/111,488
  6. Step 6: Final answer
    x = 509,097.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.