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Finding the Third Proportional to 107,076 and 226,208

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Solution

The third proportional to 107,076 and 226,208 is: 477,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,076 : 226,208 = 226,208 : x
  2. Step 2: Convert to fraction form
    107,076/226,208 = 226,208/x
  3. Step 3: Cross multiply
    107,076x = 226,208 × 226,208
  4. Step 4: Simplify right side
    107,076x = 51,170,059,264
  5. Step 5: Solve for x
    x = 51,170,059,264/107,076
  6. Step 6: Final answer
    x = 477,885.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.