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Finding the Third Proportional to 201,716.50 and 475,492.50

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Solution

The third proportional to 201,716.50 and 475,492.50 is: 1,120,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716.50 : 475,492.50 = 475,492.50 : x
  2. Step 2: Convert to fraction form
    201,716.50/475,492.50 = 475,492.50/x
  3. Step 3: Cross multiply
    201,716.50x = 475,492.50 × 475,492.50
  4. Step 4: Simplify right side
    201,716.50x = 226,093,117,556.25
  5. Step 5: Solve for x
    x = 226,093,117,556.25/201,716.50
  6. Step 6: Final answer
    x = 1,120,845.93

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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.