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Finding the Third Proportional to 154,838 and 337,864

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Solution

The third proportional to 154,838 and 337,864 is: 737,235.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,838 : 337,864 = 337,864 : x
  2. Step 2: Convert to fraction form
    154,838/337,864 = 337,864/x
  3. Step 3: Cross multiply
    154,838x = 337,864 × 337,864
  4. Step 4: Simplify right side
    154,838x = 114,152,082,496
  5. Step 5: Solve for x
    x = 114,152,082,496/154,838
  6. Step 6: Final answer
    x = 737,235.58

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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.