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Finding the Third Proportional to 183,540.94 and 403,238.25

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Solution

The third proportional to 183,540.94 and 403,238.25 is: 885,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,540.94 : 403,238.25 = 403,238.25 : x
  2. Step 2: Convert to fraction form
    183,540.94/403,238.25 = 403,238.25/x
  3. Step 3: Cross multiply
    183,540.94x = 403,238.25 × 403,238.25
  4. Step 4: Simplify right side
    183,540.94x = 162,601,086,263.06
  5. Step 5: Solve for x
    x = 162,601,086,263.06/183,540.94
  6. Step 6: Final answer
    x = 885,911.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.