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Finding the Third Proportional to 103,884.75 and 224,379

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Solution

The third proportional to 103,884.75 and 224,379 is: 484,632.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,884.75 : 224,379 = 224,379 : x
  2. Step 2: Convert to fraction form
    103,884.75/224,379 = 224,379/x
  3. Step 3: Cross multiply
    103,884.75x = 224,379 × 224,379
  4. Step 4: Simplify right side
    103,884.75x = 50,345,935,641
  5. Step 5: Solve for x
    x = 50,345,935,641/103,884.75
  6. Step 6: Final answer
    x = 484,632.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.