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Finding the Third Proportional to 224,291.75 and 333,197.50

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Solution

The third proportional to 224,291.75 and 333,197.50 is: 494,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,291.75 : 333,197.50 = 333,197.50 : x
  2. Step 2: Convert to fraction form
    224,291.75/333,197.50 = 333,197.50/x
  3. Step 3: Cross multiply
    224,291.75x = 333,197.50 × 333,197.50
  4. Step 4: Simplify right side
    224,291.75x = 111,020,574,006.25
  5. Step 5: Solve for x
    x = 111,020,574,006.25/224,291.75
  6. Step 6: Final answer
    x = 494,982.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.