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Finding the Third Proportional to 111,687 and 238,955

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Solution

The third proportional to 111,687 and 238,955 is: 511,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,687 : 238,955 = 238,955 : x
  2. Step 2: Convert to fraction form
    111,687/238,955 = 238,955/x
  3. Step 3: Cross multiply
    111,687x = 238,955 × 238,955
  4. Step 4: Simplify right side
    111,687x = 57,099,492,025
  5. Step 5: Solve for x
    x = 57,099,492,025/111,687
  6. Step 6: Final answer
    x = 511,245.64

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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.