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Finding the Third Proportional to 103,486 and 226,844

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Solution

The third proportional to 103,486 and 226,844 is: 497,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,486 : 226,844 = 226,844 : x
  2. Step 2: Convert to fraction form
    103,486/226,844 = 226,844/x
  3. Step 3: Cross multiply
    103,486x = 226,844 × 226,844
  4. Step 4: Simplify right side
    103,486x = 51,458,200,336
  5. Step 5: Solve for x
    x = 51,458,200,336/103,486
  6. Step 6: Final answer
    x = 497,247.94

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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.