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Finding the Third Proportional to 195,556.50 and 412,129.13

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Solution

The third proportional to 195,556.50 and 412,129.13 is: 868,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,556.50 : 412,129.13 = 412,129.13 : x
  2. Step 2: Convert to fraction form
    195,556.50/412,129.13 = 412,129.13/x
  3. Step 3: Cross multiply
    195,556.50x = 412,129.13 × 412,129.13
  4. Step 4: Simplify right side
    195,556.50x = 169,850,415,673.27
  5. Step 5: Solve for x
    x = 169,850,415,673.27/195,556.50
  6. Step 6: Final answer
    x = 868,549.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.