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Finding the Third Proportional to 185,211.56 and 405,141.75

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Solution

The third proportional to 185,211.56 and 405,141.75 is: 886,228.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,211.56 : 405,141.75 = 405,141.75 : x
  2. Step 2: Convert to fraction form
    185,211.56/405,141.75 = 405,141.75/x
  3. Step 3: Cross multiply
    185,211.56x = 405,141.75 × 405,141.75
  4. Step 4: Simplify right side
    185,211.56x = 164,139,837,593.06
  5. Step 5: Solve for x
    x = 164,139,837,593.06/185,211.56
  6. Step 6: Final answer
    x = 886,228.89

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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.