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Finding the Third Proportional to 196,824 and 305,604

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Solution

The third proportional to 196,824 and 305,604 is: 474,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,824 : 305,604 = 305,604 : x
  2. Step 2: Convert to fraction form
    196,824/305,604 = 305,604/x
  3. Step 3: Cross multiply
    196,824x = 305,604 × 305,604
  4. Step 4: Simplify right side
    196,824x = 93,393,804,816
  5. Step 5: Solve for x
    x = 93,393,804,816/196,824
  6. Step 6: Final answer
    x = 474,504.15

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Why These Related Problems?

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