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Finding the Third Proportional to 103,148 and 226,208

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Solution

The third proportional to 103,148 and 226,208 is: 496,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,148 : 226,208 = 226,208 : x
  2. Step 2: Convert to fraction form
    103,148/226,208 = 226,208/x
  3. Step 3: Cross multiply
    103,148x = 226,208 × 226,208
  4. Step 4: Simplify right side
    103,148x = 51,170,059,264
  5. Step 5: Solve for x
    x = 51,170,059,264/103,148
  6. Step 6: Final answer
    x = 496,083.87

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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.