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Finding the Third Proportional to 111,683 and 238,948

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Solution

The third proportional to 111,683 and 238,948 is: 511,234.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,683 : 238,948 = 238,948 : x
  2. Step 2: Convert to fraction form
    111,683/238,948 = 238,948/x
  3. Step 3: Cross multiply
    111,683x = 238,948 × 238,948
  4. Step 4: Simplify right side
    111,683x = 57,096,146,704
  5. Step 5: Solve for x
    x = 57,096,146,704/111,683
  6. Step 6: Final answer
    x = 511,234.00

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