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Finding the Third Proportional to 102,904 and 218,790

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Solution

The third proportional to 102,904 and 218,790 is: 465,181.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,904 : 218,790 = 218,790 : x
  2. Step 2: Convert to fraction form
    102,904/218,790 = 218,790/x
  3. Step 3: Cross multiply
    102,904x = 218,790 × 218,790
  4. Step 4: Simplify right side
    102,904x = 47,869,064,100
  5. Step 5: Solve for x
    x = 47,869,064,100/102,904
  6. Step 6: Final answer
    x = 465,181.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.