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Finding the Third Proportional to 185,986.13 and 405,187.31

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Solution

The third proportional to 185,986.13 and 405,187.31 is: 882,736.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,986.13 : 405,187.31 = 405,187.31 : x
  2. Step 2: Convert to fraction form
    185,986.13/405,187.31 = 405,187.31/x
  3. Step 3: Cross multiply
    185,986.13x = 405,187.31 × 405,187.31
  4. Step 4: Simplify right side
    185,986.13x = 164,176,758,210.97
  5. Step 5: Solve for x
    x = 164,176,758,210.97/185,986.13
  6. Step 6: Final answer
    x = 882,736.59

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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.