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Finding the Third Proportional to 103,050 and 225,804

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Solution

The third proportional to 103,050 and 225,804 is: 494,783.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,050 : 225,804 = 225,804 : x
  2. Step 2: Convert to fraction form
    103,050/225,804 = 225,804/x
  3. Step 3: Cross multiply
    103,050x = 225,804 × 225,804
  4. Step 4: Simplify right side
    103,050x = 50,987,446,416
  5. Step 5: Solve for x
    x = 50,987,446,416/103,050
  6. Step 6: Final answer
    x = 494,783.57

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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.