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Finding the Third Proportional to 102,224 and 220,000

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Solution

The third proportional to 102,224 and 220,000 is: 473,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,224 : 220,000 = 220,000 : x
  2. Step 2: Convert to fraction form
    102,224/220,000 = 220,000/x
  3. Step 3: Cross multiply
    102,224x = 220,000 × 220,000
  4. Step 4: Simplify right side
    102,224x = 48,400,000,000
  5. Step 5: Solve for x
    x = 48,400,000,000/102,224
  6. Step 6: Final answer
    x = 473,470.03

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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.