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Finding the Third Proportional to 224,611.13 and 339,255.75

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Solution

The third proportional to 224,611.13 and 339,255.75 is: 512,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,611.13 : 339,255.75 = 339,255.75 : x
  2. Step 2: Convert to fraction form
    224,611.13/339,255.75 = 339,255.75/x
  3. Step 3: Cross multiply
    224,611.13x = 339,255.75 × 339,255.75
  4. Step 4: Simplify right side
    224,611.13x = 115,094,463,908.06
  5. Step 5: Solve for x
    x = 115,094,463,908.06/224,611.13
  6. Step 6: Final answer
    x = 512,416.58

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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.