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Finding the Third Proportional to 103,542 and 226,467

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Solution

The third proportional to 103,542 and 226,467 is: 495,328.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,542 : 226,467 = 226,467 : x
  2. Step 2: Convert to fraction form
    103,542/226,467 = 226,467/x
  3. Step 3: Cross multiply
    103,542x = 226,467 × 226,467
  4. Step 4: Simplify right side
    103,542x = 51,287,302,089
  5. Step 5: Solve for x
    x = 51,287,302,089/103,542
  6. Step 6: Final answer
    x = 495,328.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.