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Finding the Third Proportional to 154,216 and 224,760

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Solution

The third proportional to 154,216 and 224,760 is: 327,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,216 : 224,760 = 224,760 : x
  2. Step 2: Convert to fraction form
    154,216/224,760 = 224,760/x
  3. Step 3: Cross multiply
    154,216x = 224,760 × 224,760
  4. Step 4: Simplify right side
    154,216x = 50,517,057,600
  5. Step 5: Solve for x
    x = 50,517,057,600/154,216
  6. Step 6: Final answer
    x = 327,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.