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Finding the Third Proportional to 226,206 and 350,487

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Solution

The third proportional to 226,206 and 350,487 is: 543,049.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,206 : 350,487 = 350,487 : x
  2. Step 2: Convert to fraction form
    226,206/350,487 = 350,487/x
  3. Step 3: Cross multiply
    226,206x = 350,487 × 350,487
  4. Step 4: Simplify right side
    226,206x = 122,841,137,169
  5. Step 5: Solve for x
    x = 122,841,137,169/226,206
  6. Step 6: Final answer
    x = 543,049.86

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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.