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Finding the Third Proportional to 103,958 and 225,484

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Solution

The third proportional to 103,958 and 225,484 is: 489,072.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,958 : 225,484 = 225,484 : x
  2. Step 2: Convert to fraction form
    103,958/225,484 = 225,484/x
  3. Step 3: Cross multiply
    103,958x = 225,484 × 225,484
  4. Step 4: Simplify right side
    103,958x = 50,843,034,256
  5. Step 5: Solve for x
    x = 50,843,034,256/103,958
  6. Step 6: Final answer
    x = 489,072.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.