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Finding the Third Proportional to 153,936 and 336,096

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Solution

The third proportional to 153,936 and 336,096 is: 733,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,936 : 336,096 = 336,096 : x
  2. Step 2: Convert to fraction form
    153,936/336,096 = 336,096/x
  3. Step 3: Cross multiply
    153,936x = 336,096 × 336,096
  4. Step 4: Simplify right side
    153,936x = 112,960,521,216
  5. Step 5: Solve for x
    x = 112,960,521,216/153,936
  6. Step 6: Final answer
    x = 733,814.84

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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.