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Finding the Third Proportional to 192,102.50 and 421,572

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Solution

The third proportional to 192,102.50 and 421,572 is: 925,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,102.50 : 421,572 = 421,572 : x
  2. Step 2: Convert to fraction form
    192,102.50/421,572 = 421,572/x
  3. Step 3: Cross multiply
    192,102.50x = 421,572 × 421,572
  4. Step 4: Simplify right side
    192,102.50x = 177,722,951,184
  5. Step 5: Solve for x
    x = 177,722,951,184/192,102.50
  6. Step 6: Final answer
    x = 925,146.48

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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.