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Finding the Third Proportional to 226,537 and 317,554

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Solution

The third proportional to 226,537 and 317,554 is: 445,139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,537 : 317,554 = 317,554 : x
  2. Step 2: Convert to fraction form
    226,537/317,554 = 317,554/x
  3. Step 3: Cross multiply
    226,537x = 317,554 × 317,554
  4. Step 4: Simplify right side
    226,537x = 100,840,542,916
  5. Step 5: Solve for x
    x = 100,840,542,916/226,537
  6. Step 6: Final answer
    x = 445,139.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.