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Finding the Third Proportional to 196,816 and 305,592

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Solution

The third proportional to 196,816 and 305,592 is: 474,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,816 : 305,592 = 305,592 : x
  2. Step 2: Convert to fraction form
    196,816/305,592 = 305,592/x
  3. Step 3: Cross multiply
    196,816x = 305,592 × 305,592
  4. Step 4: Simplify right side
    196,816x = 93,386,470,464
  5. Step 5: Solve for x
    x = 93,386,470,464/196,816
  6. Step 6: Final answer
    x = 474,486.17

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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.