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Finding the Third Proportional to 246,327.75 and 533,142

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Solution

The third proportional to 246,327.75 and 533,142 is: 1,153,911.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,327.75 : 533,142 = 533,142 : x
  2. Step 2: Convert to fraction form
    246,327.75/533,142 = 533,142/x
  3. Step 3: Cross multiply
    246,327.75x = 533,142 × 533,142
  4. Step 4: Simplify right side
    246,327.75x = 284,240,392,164
  5. Step 5: Solve for x
    x = 284,240,392,164/246,327.75
  6. Step 6: Final answer
    x = 1,153,911.37

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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.