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Finding the Third Proportional to 154,251 and 338,022

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Solution

The third proportional to 154,251 and 338,022 is: 740,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,251 : 338,022 = 338,022 : x
  2. Step 2: Convert to fraction form
    154,251/338,022 = 338,022/x
  3. Step 3: Cross multiply
    154,251x = 338,022 × 338,022
  4. Step 4: Simplify right side
    154,251x = 114,258,872,484
  5. Step 5: Solve for x
    x = 114,258,872,484/154,251
  6. Step 6: Final answer
    x = 740,733.43

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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.