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Finding the Third Proportional to 196,830.75 and 418,265.25

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Solution

The third proportional to 196,830.75 and 418,265.25 is: 888,813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,830.75 : 418,265.25 = 418,265.25 : x
  2. Step 2: Convert to fraction form
    196,830.75/418,265.25 = 418,265.25/x
  3. Step 3: Cross multiply
    196,830.75x = 418,265.25 × 418,265.25
  4. Step 4: Simplify right side
    196,830.75x = 174,945,819,357.56
  5. Step 5: Solve for x
    x = 174,945,819,357.56/196,830.75
  6. Step 6: Final answer
    x = 888,813.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.