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Finding the Third Proportional to 196,824.50 and 295,185.56

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Solution

The third proportional to 196,824.50 and 295,185.56 is: 442,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824.50 : 295,185.56 = 295,185.56 : x
  2. Step 2: Convert to fraction form
    196,824.50/295,185.56 = 295,185.56/x
  3. Step 3: Cross multiply
    196,824.50x = 295,185.56 × 295,185.56
  4. Step 4: Simplify right side
    196,824.50x = 87,134,516,308.44
  5. Step 5: Solve for x
    x = 87,134,516,308.44/196,824.50
  6. Step 6: Final answer
    x = 442,701.58

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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.