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Finding the Third Proportional to 103,523 and 220,168

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Solution

The third proportional to 103,523 and 220,168 is: 468,243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,523 : 220,168 = 220,168 : x
  2. Step 2: Convert to fraction form
    103,523/220,168 = 220,168/x
  3. Step 3: Cross multiply
    103,523x = 220,168 × 220,168
  4. Step 4: Simplify right side
    103,523x = 48,473,948,224
  5. Step 5: Solve for x
    x = 48,473,948,224/103,523
  6. Step 6: Final answer
    x = 468,243.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.