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Finding the Third Proportional to 154,205 and 336,355

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Solution

The third proportional to 154,205 and 336,355 is: 733,664.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,205 : 336,355 = 336,355 : x
  2. Step 2: Convert to fraction form
    154,205/336,355 = 336,355/x
  3. Step 3: Cross multiply
    154,205x = 336,355 × 336,355
  4. Step 4: Simplify right side
    154,205x = 113,134,686,025
  5. Step 5: Solve for x
    x = 113,134,686,025/154,205
  6. Step 6: Final answer
    x = 733,664.19

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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.