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Finding the Third Proportional to 228,336.75 and 354,928.50

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Solution

The third proportional to 228,336.75 and 354,928.50 is: 551,703.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,336.75 : 354,928.50 = 354,928.50 : x
  2. Step 2: Convert to fraction form
    228,336.75/354,928.50 = 354,928.50/x
  3. Step 3: Cross multiply
    228,336.75x = 354,928.50 × 354,928.50
  4. Step 4: Simplify right side
    228,336.75x = 125,974,240,112.25
  5. Step 5: Solve for x
    x = 125,974,240,112.25/228,336.75
  6. Step 6: Final answer
    x = 551,703.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.