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Finding the Third Proportional to 102,268 and 223,482

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Solution

The third proportional to 102,268 and 223,482 is: 488,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,268 : 223,482 = 223,482 : x
  2. Step 2: Convert to fraction form
    102,268/223,482 = 223,482/x
  3. Step 3: Cross multiply
    102,268x = 223,482 × 223,482
  4. Step 4: Simplify right side
    102,268x = 49,944,204,324
  5. Step 5: Solve for x
    x = 49,944,204,324/102,268
  6. Step 6: Final answer
    x = 488,365.90

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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.