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Finding the Third Proportional to 185,820.78 and 405,769.66

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Solution

The third proportional to 185,820.78 and 405,769.66 is: 886,063.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.78 : 405,769.66 = 405,769.66 : x
  2. Step 2: Convert to fraction form
    185,820.78/405,769.66 = 405,769.66/x
  3. Step 3: Cross multiply
    185,820.78x = 405,769.66 × 405,769.66
  4. Step 4: Simplify right side
    185,820.78x = 164,649,015,518.28
  5. Step 5: Solve for x
    x = 164,649,015,518.28/185,820.78
  6. Step 6: Final answer
    x = 886,063.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.