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Finding the Third Proportional to 103,968 and 227,680

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Solution

The third proportional to 103,968 and 227,680 is: 498,597.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 227,680 = 227,680 : x
  2. Step 2: Convert to fraction form
    103,968/227,680 = 227,680/x
  3. Step 3: Cross multiply
    103,968x = 227,680 × 227,680
  4. Step 4: Simplify right side
    103,968x = 51,838,182,400
  5. Step 5: Solve for x
    x = 51,838,182,400/103,968
  6. Step 6: Final answer
    x = 498,597.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.