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Finding the Third Proportional to 185,406 and 405,660

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Solution

The third proportional to 185,406 and 405,660 is: 887,565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,406 : 405,660 = 405,660 : x
  2. Step 2: Convert to fraction form
    185,406/405,660 = 405,660/x
  3. Step 3: Cross multiply
    185,406x = 405,660 × 405,660
  4. Step 4: Simplify right side
    185,406x = 164,560,035,600
  5. Step 5: Solve for x
    x = 164,560,035,600/185,406
  6. Step 6: Final answer
    x = 887,565.86

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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.