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Finding the Third Proportional to 196,821.14 and 295,180.45

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Solution

The third proportional to 196,821.14 and 295,180.45 is: 442,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,821.14 : 295,180.45 = 295,180.45 : x
  2. Step 2: Convert to fraction form
    196,821.14/295,180.45 = 295,180.45/x
  3. Step 3: Cross multiply
    196,821.14x = 295,180.45 × 295,180.45
  4. Step 4: Simplify right side
    196,821.14x = 87,131,499,907.08
  5. Step 5: Solve for x
    x = 87,131,499,907.08/196,821.14
  6. Step 6: Final answer
    x = 442,693.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.