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Finding the Third Proportional to 216,162 and 345,324

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Solution

The third proportional to 216,162 and 345,324 is: 551,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,162 : 345,324 = 345,324 : x
  2. Step 2: Convert to fraction form
    216,162/345,324 = 345,324/x
  3. Step 3: Cross multiply
    216,162x = 345,324 × 345,324
  4. Step 4: Simplify right side
    216,162x = 119,248,664,976
  5. Step 5: Solve for x
    x = 119,248,664,976/216,162
  6. Step 6: Final answer
    x = 551,663.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.