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Finding the Third Proportional to 196,824 and 295,184.25

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Solution

The third proportional to 196,824 and 295,184.25 is: 442,698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824 : 295,184.25 = 295,184.25 : x
  2. Step 2: Convert to fraction form
    196,824/295,184.25 = 295,184.25/x
  3. Step 3: Cross multiply
    196,824x = 295,184.25 × 295,184.25
  4. Step 4: Simplify right side
    196,824x = 87,133,741,448.06
  5. Step 5: Solve for x
    x = 87,133,741,448.06/196,824
  6. Step 6: Final answer
    x = 442,698.76

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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.