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Finding the Third Proportional to 224,615.25 and 339,261.75

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Solution

The third proportional to 224,615.25 and 339,261.75 is: 512,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,615.25 : 339,261.75 = 339,261.75 : x
  2. Step 2: Convert to fraction form
    224,615.25/339,261.75 = 339,261.75/x
  3. Step 3: Cross multiply
    224,615.25x = 339,261.75 × 339,261.75
  4. Step 4: Simplify right side
    224,615.25x = 115,098,535,013.06
  5. Step 5: Solve for x
    x = 115,098,535,013.06/224,615.25
  6. Step 6: Final answer
    x = 512,425.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.