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Finding the Third Proportional to 101,523 and 220,326

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Solution

The third proportional to 101,523 and 220,326 is: 478,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,523 : 220,326 = 220,326 : x
  2. Step 2: Convert to fraction form
    101,523/220,326 = 220,326/x
  3. Step 3: Cross multiply
    101,523x = 220,326 × 220,326
  4. Step 4: Simplify right side
    101,523x = 48,543,546,276
  5. Step 5: Solve for x
    x = 48,543,546,276/101,523
  6. Step 6: Final answer
    x = 478,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.