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Finding the Third Proportional to 226,097 and 349,932

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Solution

The third proportional to 226,097 and 349,932 is: 541,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,097 : 349,932 = 349,932 : x
  2. Step 2: Convert to fraction form
    226,097/349,932 = 349,932/x
  3. Step 3: Cross multiply
    226,097x = 349,932 × 349,932
  4. Step 4: Simplify right side
    226,097x = 122,452,404,624
  5. Step 5: Solve for x
    x = 122,452,404,624/226,097
  6. Step 6: Final answer
    x = 541,592.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.