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Finding the Third Proportional to 196,164 and 301,920

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Solution

The third proportional to 196,164 and 301,920 is: 464,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,164 : 301,920 = 301,920 : x
  2. Step 2: Convert to fraction form
    196,164/301,920 = 301,920/x
  3. Step 3: Cross multiply
    196,164x = 301,920 × 301,920
  4. Step 4: Simplify right side
    196,164x = 91,155,686,400
  5. Step 5: Solve for x
    x = 91,155,686,400/196,164
  6. Step 6: Final answer
    x = 464,691.21

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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.