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Finding the Third Proportional to 103,872 and 227,400

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Solution

The third proportional to 103,872 and 227,400 is: 497,831.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,872 : 227,400 = 227,400 : x
  2. Step 2: Convert to fraction form
    103,872/227,400 = 227,400/x
  3. Step 3: Cross multiply
    103,872x = 227,400 × 227,400
  4. Step 4: Simplify right side
    103,872x = 51,710,760,000
  5. Step 5: Solve for x
    x = 51,710,760,000/103,872
  6. Step 6: Final answer
    x = 497,831.56

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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.