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Finding the Third Proportional to 224,617 and 339,265

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Solution

The third proportional to 224,617 and 339,265 is: 512,431.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,617 : 339,265 = 339,265 : x
  2. Step 2: Convert to fraction form
    224,617/339,265 = 339,265/x
  3. Step 3: Cross multiply
    224,617x = 339,265 × 339,265
  4. Step 4: Simplify right side
    224,617x = 115,100,740,225
  5. Step 5: Solve for x
    x = 115,100,740,225/224,617
  6. Step 6: Final answer
    x = 512,431.12

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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.