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Finding the Third Proportional to 103,950 and 224,530

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Solution

The third proportional to 103,950 and 224,530 is: 484,980.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,950 : 224,530 = 224,530 : x
  2. Step 2: Convert to fraction form
    103,950/224,530 = 224,530/x
  3. Step 3: Cross multiply
    103,950x = 224,530 × 224,530
  4. Step 4: Simplify right side
    103,950x = 50,413,720,900
  5. Step 5: Solve for x
    x = 50,413,720,900/103,950
  6. Step 6: Final answer
    x = 484,980.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.