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Finding the Third Proportional to 110,940.75 and 243,000

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Solution

The third proportional to 110,940.75 and 243,000 is: 532,257.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,940.75 : 243,000 = 243,000 : x
  2. Step 2: Convert to fraction form
    110,940.75/243,000 = 243,000/x
  3. Step 3: Cross multiply
    110,940.75x = 243,000 × 243,000
  4. Step 4: Simplify right side
    110,940.75x = 59,049,000,000
  5. Step 5: Solve for x
    x = 59,049,000,000/110,940.75
  6. Step 6: Final answer
    x = 532,257.08

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.