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Finding the Third Proportional to 110,768.50 and 242,982.50

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Solution

The third proportional to 110,768.50 and 242,982.50 is: 533,007.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,768.50 : 242,982.50 = 242,982.50 : x
  2. Step 2: Convert to fraction form
    110,768.50/242,982.50 = 242,982.50/x
  3. Step 3: Cross multiply
    110,768.50x = 242,982.50 × 242,982.50
  4. Step 4: Simplify right side
    110,768.50x = 59,040,495,306.25
  5. Step 5: Solve for x
    x = 59,040,495,306.25/110,768.50
  6. Step 6: Final answer
    x = 533,007.99

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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.