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Finding the Third Proportional to 258,146.75 and 559,188.25

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Solution

The third proportional to 258,146.75 and 559,188.25 is: 1,211,293.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,146.75 : 559,188.25 = 559,188.25 : x
  2. Step 2: Convert to fraction form
    258,146.75/559,188.25 = 559,188.25/x
  3. Step 3: Cross multiply
    258,146.75x = 559,188.25 × 559,188.25
  4. Step 4: Simplify right side
    258,146.75x = 312,691,498,938.06
  5. Step 5: Solve for x
    x = 312,691,498,938.06/258,146.75
  6. Step 6: Final answer
    x = 1,211,293.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.