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Finding the Third Proportional to 197,683.50 and 306,367.50

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Solution

The third proportional to 197,683.50 and 306,367.50 is: 474,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,683.50 : 306,367.50 = 306,367.50 : x
  2. Step 2: Convert to fraction form
    197,683.50/306,367.50 = 306,367.50/x
  3. Step 3: Cross multiply
    197,683.50x = 306,367.50 × 306,367.50
  4. Step 4: Simplify right side
    197,683.50x = 93,861,045,056.25
  5. Step 5: Solve for x
    x = 93,861,045,056.25/197,683.50
  6. Step 6: Final answer
    x = 474,804.65

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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.