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Finding the Third Proportional to 103,008 and 225,696

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Solution

The third proportional to 103,008 and 225,696 is: 494,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,008 : 225,696 = 225,696 : x
  2. Step 2: Convert to fraction form
    103,008/225,696 = 225,696/x
  3. Step 3: Cross multiply
    103,008x = 225,696 × 225,696
  4. Step 4: Simplify right side
    103,008x = 50,938,684,416
  5. Step 5: Solve for x
    x = 50,938,684,416/103,008
  6. Step 6: Final answer
    x = 494,511.93

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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.