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Finding the Third Proportional to 226,132 and 351,647

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Solution

The third proportional to 226,132 and 351,647 is: 546,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,132 : 351,647 = 351,647 : x
  2. Step 2: Convert to fraction form
    226,132/351,647 = 351,647/x
  3. Step 3: Cross multiply
    226,132x = 351,647 × 351,647
  4. Step 4: Simplify right side
    226,132x = 123,655,612,609
  5. Step 5: Solve for x
    x = 123,655,612,609/226,132
  6. Step 6: Final answer
    x = 546,829.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.