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Finding the Third Proportional to 102,473 and 220,256

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Solution

The third proportional to 102,473 and 220,256 is: 473,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,473 : 220,256 = 220,256 : x
  2. Step 2: Convert to fraction form
    102,473/220,256 = 220,256/x
  3. Step 3: Cross multiply
    102,473x = 220,256 × 220,256
  4. Step 4: Simplify right side
    102,473x = 48,512,705,536
  5. Step 5: Solve for x
    x = 48,512,705,536/102,473
  6. Step 6: Final answer
    x = 473,419.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.