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Finding the Third Proportional to 224,208.75 and 340,464.75

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Solution

The third proportional to 224,208.75 and 340,464.75 is: 517,001.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,208.75 : 340,464.75 = 340,464.75 : x
  2. Step 2: Convert to fraction form
    224,208.75/340,464.75 = 340,464.75/x
  3. Step 3: Cross multiply
    224,208.75x = 340,464.75 × 340,464.75
  4. Step 4: Simplify right side
    224,208.75x = 115,916,245,992.56
  5. Step 5: Solve for x
    x = 115,916,245,992.56/224,208.75
  6. Step 6: Final answer
    x = 517,001.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.