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Finding the Third Proportional to 196,231.50 and 302,001.75

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Solution

The third proportional to 196,231.50 and 302,001.75 is: 464,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,231.50 : 302,001.75 = 302,001.75 : x
  2. Step 2: Convert to fraction form
    196,231.50/302,001.75 = 302,001.75/x
  3. Step 3: Cross multiply
    196,231.50x = 302,001.75 × 302,001.75
  4. Step 4: Simplify right side
    196,231.50x = 91,205,057,003.06
  5. Step 5: Solve for x
    x = 91,205,057,003.06/196,231.50
  6. Step 6: Final answer
    x = 464,782.96

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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.