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Finding the Third Proportional to 223,800 and 341,544

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Solution

The third proportional to 223,800 and 341,544 is: 521,234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,800 : 341,544 = 341,544 : x
  2. Step 2: Convert to fraction form
    223,800/341,544 = 341,544/x
  3. Step 3: Cross multiply
    223,800x = 341,544 × 341,544
  4. Step 4: Simplify right side
    223,800x = 116,652,303,936
  5. Step 5: Solve for x
    x = 116,652,303,936/223,800
  6. Step 6: Final answer
    x = 521,234.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.