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Finding the Third Proportional to 154,286 and 338,164

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Solution

The third proportional to 154,286 and 338,164 is: 741,187.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,286 : 338,164 = 338,164 : x
  2. Step 2: Convert to fraction form
    154,286/338,164 = 338,164/x
  3. Step 3: Cross multiply
    154,286x = 338,164 × 338,164
  4. Step 4: Simplify right side
    154,286x = 114,354,890,896
  5. Step 5: Solve for x
    x = 114,354,890,896/154,286
  6. Step 6: Final answer
    x = 741,187.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.