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Finding the Third Proportional to 221,024 and 337,880

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Solution

The third proportional to 221,024 and 337,880 is: 516,518.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,024 : 337,880 = 337,880 : x
  2. Step 2: Convert to fraction form
    221,024/337,880 = 337,880/x
  3. Step 3: Cross multiply
    221,024x = 337,880 × 337,880
  4. Step 4: Simplify right side
    221,024x = 114,162,894,400
  5. Step 5: Solve for x
    x = 114,162,894,400/221,024
  6. Step 6: Final answer
    x = 516,518.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.