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Finding the Third Proportional to 196,432 and 304,704

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Solution

The third proportional to 196,432 and 304,704 is: 472,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,432 : 304,704 = 304,704 : x
  2. Step 2: Convert to fraction form
    196,432/304,704 = 304,704/x
  3. Step 3: Cross multiply
    196,432x = 304,704 × 304,704
  4. Step 4: Simplify right side
    196,432x = 92,844,527,616
  5. Step 5: Solve for x
    x = 92,844,527,616/196,432
  6. Step 6: Final answer
    x = 472,654.80

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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.