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Finding the Third Proportional to 154,441.13 and 338,406.38

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Solution

The third proportional to 154,441.13 and 338,406.38 is: 741,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,441.13 : 338,406.38 = 338,406.38 : x
  2. Step 2: Convert to fraction form
    154,441.13/338,406.38 = 338,406.38/x
  3. Step 3: Cross multiply
    154,441.13x = 338,406.38 × 338,406.38
  4. Step 4: Simplify right side
    154,441.13x = 114,518,874,640.64
  5. Step 5: Solve for x
    x = 114,518,874,640.64/154,441.13
  6. Step 6: Final answer
    x = 741,505.05

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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.