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Finding the Third Proportional to 151,285.50 and 200,683.50

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Solution

The third proportional to 151,285.50 and 200,683.50 is: 266,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,285.50 : 200,683.50 = 200,683.50 : x
  2. Step 2: Convert to fraction form
    151,285.50/200,683.50 = 200,683.50/x
  3. Step 3: Cross multiply
    151,285.50x = 200,683.50 × 200,683.50
  4. Step 4: Simplify right side
    151,285.50x = 40,273,867,172.25
  5. Step 5: Solve for x
    x = 40,273,867,172.25/151,285.50
  6. Step 6: Final answer
    x = 266,211.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.