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Finding the Third Proportional to 224,932 and 339,722

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Solution

The third proportional to 224,932 and 339,722 is: 513,093.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,932 : 339,722 = 339,722 : x
  2. Step 2: Convert to fraction form
    224,932/339,722 = 339,722/x
  3. Step 3: Cross multiply
    224,932x = 339,722 × 339,722
  4. Step 4: Simplify right side
    224,932x = 115,411,037,284
  5. Step 5: Solve for x
    x = 115,411,037,284/224,932
  6. Step 6: Final answer
    x = 513,093.01

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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.