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Finding the Third Proportional to 154,678 and 337,764

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Solution

The third proportional to 154,678 and 337,764 is: 737,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,678 : 337,764 = 337,764 : x
  2. Step 2: Convert to fraction form
    154,678/337,764 = 337,764/x
  3. Step 3: Cross multiply
    154,678x = 337,764 × 337,764
  4. Step 4: Simplify right side
    154,678x = 114,084,519,696
  5. Step 5: Solve for x
    x = 114,084,519,696/154,678
  6. Step 6: Final answer
    x = 737,561.38

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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.