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Finding the Third Proportional to 103,494 and 225,948

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Solution

The third proportional to 103,494 and 225,948 is: 493,289.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,494 : 225,948 = 225,948 : x
  2. Step 2: Convert to fraction form
    103,494/225,948 = 225,948/x
  3. Step 3: Cross multiply
    103,494x = 225,948 × 225,948
  4. Step 4: Simplify right side
    103,494x = 51,052,498,704
  5. Step 5: Solve for x
    x = 51,052,498,704/103,494
  6. Step 6: Final answer
    x = 493,289.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.