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Finding the Third Proportional to 183,101.38 and 401,112.75

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Solution

The third proportional to 183,101.38 and 401,112.75 is: 878,701.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,101.38 : 401,112.75 = 401,112.75 : x
  2. Step 2: Convert to fraction form
    183,101.38/401,112.75 = 401,112.75/x
  3. Step 3: Cross multiply
    183,101.38x = 401,112.75 × 401,112.75
  4. Step 4: Simplify right side
    183,101.38x = 160,891,438,212.56
  5. Step 5: Solve for x
    x = 160,891,438,212.56/183,101.38
  6. Step 6: Final answer
    x = 878,701.42

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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.