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Finding the Third Proportional to 103,747 and 226,340

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Solution

The third proportional to 103,747 and 226,340 is: 493,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,747 : 226,340 = 226,340 : x
  2. Step 2: Convert to fraction form
    103,747/226,340 = 226,340/x
  3. Step 3: Cross multiply
    103,747x = 226,340 × 226,340
  4. Step 4: Simplify right side
    103,747x = 51,229,795,600
  5. Step 5: Solve for x
    x = 51,229,795,600/103,747
  6. Step 6: Final answer
    x = 493,795.44

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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.