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Finding the Third Proportional to 224,565 and 339,174

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Solution

The third proportional to 224,565 and 339,174 is: 512,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,565 : 339,174 = 339,174 : x
  2. Step 2: Convert to fraction form
    224,565/339,174 = 339,174/x
  3. Step 3: Cross multiply
    224,565x = 339,174 × 339,174
  4. Step 4: Simplify right side
    224,565x = 115,039,002,276
  5. Step 5: Solve for x
    x = 115,039,002,276/224,565
  6. Step 6: Final answer
    x = 512,274.85

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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.