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Finding the Third Proportional to 224,922 and 339,690

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Solution

The third proportional to 224,922 and 339,690 is: 513,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,922 : 339,690 = 339,690 : x
  2. Step 2: Convert to fraction form
    224,922/339,690 = 339,690/x
  3. Step 3: Cross multiply
    224,922x = 339,690 × 339,690
  4. Step 4: Simplify right side
    224,922x = 115,389,296,100
  5. Step 5: Solve for x
    x = 115,389,296,100/224,922
  6. Step 6: Final answer
    x = 513,019.16

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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.