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Finding the Third Proportional to 192,324 and 421,550

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Solution

The third proportional to 192,324 and 421,550 is: 923,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,324 : 421,550 = 421,550 : x
  2. Step 2: Convert to fraction form
    192,324/421,550 = 421,550/x
  3. Step 3: Cross multiply
    192,324x = 421,550 × 421,550
  4. Step 4: Simplify right side
    192,324x = 177,704,402,500
  5. Step 5: Solve for x
    x = 177,704,402,500/192,324
  6. Step 6: Final answer
    x = 923,984.54

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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.