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Finding the Third Proportional to 207,227 and 304,041

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Solution

The third proportional to 207,227 and 304,041 is: 446,085.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,227 : 304,041 = 304,041 : x
  2. Step 2: Convert to fraction form
    207,227/304,041 = 304,041/x
  3. Step 3: Cross multiply
    207,227x = 304,041 × 304,041
  4. Step 4: Simplify right side
    207,227x = 92,440,929,681
  5. Step 5: Solve for x
    x = 92,440,929,681/207,227
  6. Step 6: Final answer
    x = 446,085.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.