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Finding the Third Proportional to 154,631 and 335,502

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Solution

The third proportional to 154,631 and 335,502 is: 727,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,631 : 335,502 = 335,502 : x
  2. Step 2: Convert to fraction form
    154,631/335,502 = 335,502/x
  3. Step 3: Cross multiply
    154,631x = 335,502 × 335,502
  4. Step 4: Simplify right side
    154,631x = 112,561,592,004
  5. Step 5: Solve for x
    x = 112,561,592,004/154,631
  6. Step 6: Final answer
    x = 727,936.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.