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Finding the Third Proportional to 196,776 and 302,508

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Solution

The third proportional to 196,776 and 302,508 is: 465,052.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776 : 302,508 = 302,508 : x
  2. Step 2: Convert to fraction form
    196,776/302,508 = 302,508/x
  3. Step 3: Cross multiply
    196,776x = 302,508 × 302,508
  4. Step 4: Simplify right side
    196,776x = 91,511,090,064
  5. Step 5: Solve for x
    x = 91,511,090,064/196,776
  6. Step 6: Final answer
    x = 465,052.09

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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.