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Finding the Third Proportional to 103,556 and 225,928

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Solution

The third proportional to 103,556 and 225,928 is: 492,906.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,556 : 225,928 = 225,928 : x
  2. Step 2: Convert to fraction form
    103,556/225,928 = 225,928/x
  3. Step 3: Cross multiply
    103,556x = 225,928 × 225,928
  4. Step 4: Simplify right side
    103,556x = 51,043,461,184
  5. Step 5: Solve for x
    x = 51,043,461,184/103,556
  6. Step 6: Final answer
    x = 492,906.84

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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.