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Finding the Third Proportional to 196,434 and 304,707

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Solution

The third proportional to 196,434 and 304,707 is: 472,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,434 : 304,707 = 304,707 : x
  2. Step 2: Convert to fraction form
    196,434/304,707 = 304,707/x
  3. Step 3: Cross multiply
    196,434x = 304,707 × 304,707
  4. Step 4: Simplify right side
    196,434x = 92,846,355,849
  5. Step 5: Solve for x
    x = 92,846,355,849/196,434
  6. Step 6: Final answer
    x = 472,659.29

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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.