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Finding the Third Proportional to 183,107.50 and 401,125

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Solution

The third proportional to 183,107.50 and 401,125 is: 878,725.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,107.50 : 401,125 = 401,125 : x
  2. Step 2: Convert to fraction form
    183,107.50/401,125 = 401,125/x
  3. Step 3: Cross multiply
    183,107.50x = 401,125 × 401,125
  4. Step 4: Simplify right side
    183,107.50x = 160,901,265,625
  5. Step 5: Solve for x
    x = 160,901,265,625/183,107.50
  6. Step 6: Final answer
    x = 878,725.70

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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.