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Finding the Third Proportional to 224,435.81 and 336,825.84

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Solution

The third proportional to 224,435.81 and 336,825.84 is: 505,497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,435.81 : 336,825.84 = 336,825.84 : x
  2. Step 2: Convert to fraction form
    224,435.81/336,825.84 = 336,825.84/x
  3. Step 3: Cross multiply
    224,435.81x = 336,825.84 × 336,825.84
  4. Step 4: Simplify right side
    224,435.81x = 113,451,649,017.90
  5. Step 5: Solve for x
    x = 113,451,649,017.90/224,435.81
  6. Step 6: Final answer
    x = 505,497.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.