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Finding the Third Proportional to 103,907 and 227,254

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Solution

The third proportional to 103,907 and 227,254 is: 497,025.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,907 : 227,254 = 227,254 : x
  2. Step 2: Convert to fraction form
    103,907/227,254 = 227,254/x
  3. Step 3: Cross multiply
    103,907x = 227,254 × 227,254
  4. Step 4: Simplify right side
    103,907x = 51,644,380,516
  5. Step 5: Solve for x
    x = 51,644,380,516/103,907
  6. Step 6: Final answer
    x = 497,025.04

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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.