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Finding the Third Proportional to 196,500 and 304,806

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Solution

The third proportional to 196,500 and 304,806 is: 472,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,500 : 304,806 = 304,806 : x
  2. Step 2: Convert to fraction form
    196,500/304,806 = 304,806/x
  3. Step 3: Cross multiply
    196,500x = 304,806 × 304,806
  4. Step 4: Simplify right side
    196,500x = 92,906,697,636
  5. Step 5: Solve for x
    x = 92,906,697,636/196,500
  6. Step 6: Final answer
    x = 472,807.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.