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Finding the Third Proportional to 104,307 and 225,243

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Solution

The third proportional to 104,307 and 225,243 is: 486,395.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,307 : 225,243 = 225,243 : x
  2. Step 2: Convert to fraction form
    104,307/225,243 = 225,243/x
  3. Step 3: Cross multiply
    104,307x = 225,243 × 225,243
  4. Step 4: Simplify right side
    104,307x = 50,734,409,049
  5. Step 5: Solve for x
    x = 50,734,409,049/104,307
  6. Step 6: Final answer
    x = 486,395.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.