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Finding the Third Proportional to 196,720 and 302,568

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Solution

The third proportional to 196,720 and 302,568 is: 465,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,720 : 302,568 = 302,568 : x
  2. Step 2: Convert to fraction form
    196,720/302,568 = 302,568/x
  3. Step 3: Cross multiply
    196,720x = 302,568 × 302,568
  4. Step 4: Simplify right side
    196,720x = 91,547,394,624
  5. Step 5: Solve for x
    x = 91,547,394,624/196,720
  6. Step 6: Final answer
    x = 465,369.03

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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.