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Finding the Third Proportional to 226,072 and 349,500

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Solution

The third proportional to 226,072 and 349,500 is: 540,315.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,072 : 349,500 = 349,500 : x
  2. Step 2: Convert to fraction form
    226,072/349,500 = 349,500/x
  3. Step 3: Cross multiply
    226,072x = 349,500 × 349,500
  4. Step 4: Simplify right side
    226,072x = 122,150,250,000
  5. Step 5: Solve for x
    x = 122,150,250,000/226,072
  6. Step 6: Final answer
    x = 540,315.70

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