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Finding the Third Proportional to 193,889.50 and 410,134

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Solution

The third proportional to 193,889.50 and 410,134 is: 867,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,889.50 : 410,134 = 410,134 : x
  2. Step 2: Convert to fraction form
    193,889.50/410,134 = 410,134/x
  3. Step 3: Cross multiply
    193,889.50x = 410,134 × 410,134
  4. Step 4: Simplify right side
    193,889.50x = 168,209,897,956
  5. Step 5: Solve for x
    x = 168,209,897,956/193,889.50
  6. Step 6: Final answer
    x = 867,555.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.