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Finding the Third Proportional to 102,269 and 223,483

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Solution

The third proportional to 102,269 and 223,483 is: 488,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,269 : 223,483 = 223,483 : x
  2. Step 2: Convert to fraction form
    102,269/223,483 = 223,483/x
  3. Step 3: Cross multiply
    102,269x = 223,483 × 223,483
  4. Step 4: Simplify right side
    102,269x = 49,944,651,289
  5. Step 5: Solve for x
    x = 49,944,651,289/102,269
  6. Step 6: Final answer
    x = 488,365.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.