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Finding the Third Proportional to 224,319.75 and 344,794.50

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Solution

The third proportional to 224,319.75 and 344,794.50 is: 529,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,319.75 : 344,794.50 = 344,794.50 : x
  2. Step 2: Convert to fraction form
    224,319.75/344,794.50 = 344,794.50/x
  3. Step 3: Cross multiply
    224,319.75x = 344,794.50 × 344,794.50
  4. Step 4: Simplify right side
    224,319.75x = 118,883,247,230.25
  5. Step 5: Solve for x
    x = 118,883,247,230.25/224,319.75
  6. Step 6: Final answer
    x = 529,972.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.