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Finding the Third Proportional to 246,880.50 and 531,225

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Solution

The third proportional to 246,880.50 and 531,225 is: 1,143,063.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,880.50 : 531,225 = 531,225 : x
  2. Step 2: Convert to fraction form
    246,880.50/531,225 = 531,225/x
  3. Step 3: Cross multiply
    246,880.50x = 531,225 × 531,225
  4. Step 4: Simplify right side
    246,880.50x = 282,200,000,625
  5. Step 5: Solve for x
    x = 282,200,000,625/246,880.50
  6. Step 6: Final answer
    x = 1,143,063.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.