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Finding the Third Proportional to 103,914 and 224,644

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Solution

The third proportional to 103,914 and 224,644 is: 485,641.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,914 : 224,644 = 224,644 : x
  2. Step 2: Convert to fraction form
    103,914/224,644 = 224,644/x
  3. Step 3: Cross multiply
    103,914x = 224,644 × 224,644
  4. Step 4: Simplify right side
    103,914x = 50,464,926,736
  5. Step 5: Solve for x
    x = 50,464,926,736/103,914
  6. Step 6: Final answer
    x = 485,641.27

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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.