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Finding the Third Proportional to 154,676 and 337,760

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Solution

The third proportional to 154,676 and 337,760 is: 737,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,676 : 337,760 = 337,760 : x
  2. Step 2: Convert to fraction form
    154,676/337,760 = 337,760/x
  3. Step 3: Cross multiply
    154,676x = 337,760 × 337,760
  4. Step 4: Simplify right side
    154,676x = 114,081,817,600
  5. Step 5: Solve for x
    x = 114,081,817,600/154,676
  6. Step 6: Final answer
    x = 737,553.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.