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Finding the Third Proportional to 246,334.50 and 533,148.75

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Solution

The third proportional to 246,334.50 and 533,148.75 is: 1,153,908.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,334.50 : 533,148.75 = 533,148.75 : x
  2. Step 2: Convert to fraction form
    246,334.50/533,148.75 = 533,148.75/x
  3. Step 3: Cross multiply
    246,334.50x = 533,148.75 × 533,148.75
  4. Step 4: Simplify right side
    246,334.50x = 284,247,589,626.56
  5. Step 5: Solve for x
    x = 284,247,589,626.56/246,334.50
  6. Step 6: Final answer
    x = 1,153,908.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.