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Finding the Third Proportional to 224,214 and 329,760

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Solution

The third proportional to 224,214 and 329,760 is: 484,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,214 : 329,760 = 329,760 : x
  2. Step 2: Convert to fraction form
    224,214/329,760 = 329,760/x
  3. Step 3: Cross multiply
    224,214x = 329,760 × 329,760
  4. Step 4: Simplify right side
    224,214x = 108,741,657,600
  5. Step 5: Solve for x
    x = 108,741,657,600/224,214
  6. Step 6: Final answer
    x = 484,990.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.