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Finding the Third Proportional to 110,538.75 and 238,725.75

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Solution

The third proportional to 110,538.75 and 238,725.75 is: 515,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,538.75 : 238,725.75 = 238,725.75 : x
  2. Step 2: Convert to fraction form
    110,538.75/238,725.75 = 238,725.75/x
  3. Step 3: Cross multiply
    110,538.75x = 238,725.75 × 238,725.75
  4. Step 4: Simplify right side
    110,538.75x = 56,989,983,713.06
  5. Step 5: Solve for x
    x = 56,989,983,713.06/110,538.75
  6. Step 6: Final answer
    x = 515,565.66

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