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Finding the Third Proportional to 104,951 and 226,486

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Solution

The third proportional to 104,951 and 226,486 is: 488,760.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,951 : 226,486 = 226,486 : x
  2. Step 2: Convert to fraction form
    104,951/226,486 = 226,486/x
  3. Step 3: Cross multiply
    104,951x = 226,486 × 226,486
  4. Step 4: Simplify right side
    104,951x = 51,295,908,196
  5. Step 5: Solve for x
    x = 51,295,908,196/104,951
  6. Step 6: Final answer
    x = 488,760.55

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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.