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Finding the Third Proportional to 224,439.75 and 336,883.50

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Solution

The third proportional to 224,439.75 and 336,883.50 is: 505,661.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,439.75 : 336,883.50 = 336,883.50 : x
  2. Step 2: Convert to fraction form
    224,439.75/336,883.50 = 336,883.50/x
  3. Step 3: Cross multiply
    224,439.75x = 336,883.50 × 336,883.50
  4. Step 4: Simplify right side
    224,439.75x = 113,490,492,572.25
  5. Step 5: Solve for x
    x = 113,490,492,572.25/224,439.75
  6. Step 6: Final answer
    x = 505,661.29

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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.