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Finding the Third Proportional to 183,100.74 and 401,111.37

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Solution

The third proportional to 183,100.74 and 401,111.37 is: 878,698.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,100.74 : 401,111.37 = 401,111.37 : x
  2. Step 2: Convert to fraction form
    183,100.74/401,111.37 = 401,111.37/x
  3. Step 3: Cross multiply
    183,100.74x = 401,111.37 × 401,111.37
  4. Step 4: Simplify right side
    183,100.74x = 160,890,328,887.03
  5. Step 5: Solve for x
    x = 160,890,328,887.03/183,100.74
  6. Step 6: Final answer
    x = 878,698.42

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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.