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Finding the Third Proportional to 104,949 and 226,482

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Solution

The third proportional to 104,949 and 226,482 is: 488,752.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,949 : 226,482 = 226,482 : x
  2. Step 2: Convert to fraction form
    104,949/226,482 = 226,482/x
  3. Step 3: Cross multiply
    104,949x = 226,482 × 226,482
  4. Step 4: Simplify right side
    104,949x = 51,294,096,324
  5. Step 5: Solve for x
    x = 51,294,096,324/104,949
  6. Step 6: Final answer
    x = 488,752.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.