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Finding the Third Proportional to 196,364.25 and 302,200.88

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Solution

The third proportional to 196,364.25 and 302,200.88 is: 465,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,364.25 : 302,200.88 = 302,200.88 : x
  2. Step 2: Convert to fraction form
    196,364.25/302,200.88 = 302,200.88/x
  3. Step 3: Cross multiply
    196,364.25x = 302,200.88 × 302,200.88
  4. Step 4: Simplify right side
    196,364.25x = 91,325,368,850.77
  5. Step 5: Solve for x
    x = 91,325,368,850.77/196,364.25
  6. Step 6: Final answer
    x = 465,081.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.