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Finding the Third Proportional to 246,318.75 and 531,092.25

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Solution

The third proportional to 246,318.75 and 531,092.25 is: 1,145,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,318.75 : 531,092.25 = 531,092.25 : x
  2. Step 2: Convert to fraction form
    246,318.75/531,092.25 = 531,092.25/x
  3. Step 3: Cross multiply
    246,318.75x = 531,092.25 × 531,092.25
  4. Step 4: Simplify right side
    246,318.75x = 282,058,978,010.06
  5. Step 5: Solve for x
    x = 282,058,978,010.06/246,318.75
  6. Step 6: Final answer
    x = 1,145,097.47

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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.