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Finding the Third Proportional to 102,002 and 220,944

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Solution

The third proportional to 102,002 and 220,944 is: 478,581.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,002 : 220,944 = 220,944 : x
  2. Step 2: Convert to fraction form
    102,002/220,944 = 220,944/x
  3. Step 3: Cross multiply
    102,002x = 220,944 × 220,944
  4. Step 4: Simplify right side
    102,002x = 48,816,251,136
  5. Step 5: Solve for x
    x = 48,816,251,136/102,002
  6. Step 6: Final answer
    x = 478,581.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.