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Finding the Third Proportional to 101,511 and 223,269

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Solution

The third proportional to 101,511 and 223,269 is: 491,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,511 : 223,269 = 223,269 : x
  2. Step 2: Convert to fraction form
    101,511/223,269 = 223,269/x
  3. Step 3: Cross multiply
    101,511x = 223,269 × 223,269
  4. Step 4: Simplify right side
    101,511x = 49,849,046,361
  5. Step 5: Solve for x
    x = 49,849,046,361/101,511
  6. Step 6: Final answer
    x = 491,070.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.