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Finding the Third Proportional to 196,365.38 and 302,202.75

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Solution

The third proportional to 196,365.38 and 302,202.75 is: 465,084.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,365.38 : 302,202.75 = 302,202.75 : x
  2. Step 2: Convert to fraction form
    196,365.38/302,202.75 = 302,202.75/x
  3. Step 3: Cross multiply
    196,365.38x = 302,202.75 × 302,202.75
  4. Step 4: Simplify right side
    196,365.38x = 91,326,502,107.56
  5. Step 5: Solve for x
    x = 91,326,502,107.56/196,365.38
  6. Step 6: Final answer
    x = 465,084.55

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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.