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Finding the Third Proportional to 102,967 and 225,617

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Solution

The third proportional to 102,967 and 225,617 is: 494,362.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967 : 225,617 = 225,617 : x
  2. Step 2: Convert to fraction form
    102,967/225,617 = 225,617/x
  3. Step 3: Cross multiply
    102,967x = 225,617 × 225,617
  4. Step 4: Simplify right side
    102,967x = 50,903,030,689
  5. Step 5: Solve for x
    x = 50,903,030,689/102,967
  6. Step 6: Final answer
    x = 494,362.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.