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Finding the Third Proportional to 216,598 and 323,101

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Solution

The third proportional to 216,598 and 323,101 is: 481,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,598 : 323,101 = 323,101 : x
  2. Step 2: Convert to fraction form
    216,598/323,101 = 323,101/x
  3. Step 3: Cross multiply
    216,598x = 323,101 × 323,101
  4. Step 4: Simplify right side
    216,598x = 104,394,256,201
  5. Step 5: Solve for x
    x = 104,394,256,201/216,598
  6. Step 6: Final answer
    x = 481,972.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.