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Finding the Third Proportional to 201,816 and 475,733.25

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Solution

The third proportional to 201,816 and 475,733.25 is: 1,121,428.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816 : 475,733.25 = 475,733.25 : x
  2. Step 2: Convert to fraction form
    201,816/475,733.25 = 475,733.25/x
  3. Step 3: Cross multiply
    201,816x = 475,733.25 × 475,733.25
  4. Step 4: Simplify right side
    201,816x = 226,322,125,155.56
  5. Step 5: Solve for x
    x = 226,322,125,155.56/201,816
  6. Step 6: Final answer
    x = 1,121,428.06

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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.