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Finding the Third Proportional to 104,714 and 218,260

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Solution

The third proportional to 104,714 and 218,260 is: 454,928.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,714 : 218,260 = 218,260 : x
  2. Step 2: Convert to fraction form
    104,714/218,260 = 218,260/x
  3. Step 3: Cross multiply
    104,714x = 218,260 × 218,260
  4. Step 4: Simplify right side
    104,714x = 47,637,427,600
  5. Step 5: Solve for x
    x = 47,637,427,600/104,714
  6. Step 6: Final answer
    x = 454,928.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.