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Finding the Third Proportional to 224,851.50 and 333,870.75

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Solution

The third proportional to 224,851.50 and 333,870.75 is: 495,747.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,851.50 : 333,870.75 = 333,870.75 : x
  2. Step 2: Convert to fraction form
    224,851.50/333,870.75 = 333,870.75/x
  3. Step 3: Cross multiply
    224,851.50x = 333,870.75 × 333,870.75
  4. Step 4: Simplify right side
    224,851.50x = 111,469,677,705.56
  5. Step 5: Solve for x
    x = 111,469,677,705.56/224,851.50
  6. Step 6: Final answer
    x = 495,747.98

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.