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Finding the Third Proportional to 228,928.50 and 350,223.75

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Solution

The third proportional to 228,928.50 and 350,223.75 is: 535,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,928.50 : 350,223.75 = 350,223.75 : x
  2. Step 2: Convert to fraction form
    228,928.50/350,223.75 = 350,223.75/x
  3. Step 3: Cross multiply
    228,928.50x = 350,223.75 × 350,223.75
  4. Step 4: Simplify right side
    228,928.50x = 122,656,675,064.06
  5. Step 5: Solve for x
    x = 122,656,675,064.06/228,928.50
  6. Step 6: Final answer
    x = 535,785.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.