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Finding the Third Proportional to 154,153 and 336,247

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Solution

The third proportional to 154,153 and 336,247 is: 733,440.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,153 : 336,247 = 336,247 : x
  2. Step 2: Convert to fraction form
    154,153/336,247 = 336,247/x
  3. Step 3: Cross multiply
    154,153x = 336,247 × 336,247
  4. Step 4: Simplify right side
    154,153x = 113,062,045,009
  5. Step 5: Solve for x
    x = 113,062,045,009/154,153
  6. Step 6: Final answer
    x = 733,440.45

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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.