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Finding the Third Proportional to 201,811.50 and 475,723.13

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Solution

The third proportional to 201,811.50 and 475,723.13 is: 1,121,405.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,811.50 : 475,723.13 = 475,723.13 : x
  2. Step 2: Convert to fraction form
    201,811.50/475,723.13 = 475,723.13/x
  3. Step 3: Cross multiply
    201,811.50x = 475,723.13 × 475,723.13
  4. Step 4: Simplify right side
    201,811.50x = 226,312,491,659.77
  5. Step 5: Solve for x
    x = 226,312,491,659.77/201,811.50
  6. Step 6: Final answer
    x = 1,121,405.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.