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Finding the Third Proportional to 193,857.75 and 418,851

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Solution

The third proportional to 193,857.75 and 418,851 is: 904,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,857.75 : 418,851 = 418,851 : x
  2. Step 2: Convert to fraction form
    193,857.75/418,851 = 418,851/x
  3. Step 3: Cross multiply
    193,857.75x = 418,851 × 418,851
  4. Step 4: Simplify right side
    193,857.75x = 175,436,160,201
  5. Step 5: Solve for x
    x = 175,436,160,201/193,857.75
  6. Step 6: Final answer
    x = 904,973.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.