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Finding the Third Proportional to 111,687.75 and 238,959

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Solution

The third proportional to 111,687.75 and 238,959 is: 511,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,687.75 : 238,959 = 238,959 : x
  2. Step 2: Convert to fraction form
    111,687.75/238,959 = 238,959/x
  3. Step 3: Cross multiply
    111,687.75x = 238,959 × 238,959
  4. Step 4: Simplify right side
    111,687.75x = 57,101,403,681
  5. Step 5: Solve for x
    x = 57,101,403,681/111,687.75
  6. Step 6: Final answer
    x = 511,259.33

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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.