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Finding the Third Proportional to 196,304 and 310,976

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Solution

The third proportional to 196,304 and 310,976 is: 492,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,304 : 310,976 = 310,976 : x
  2. Step 2: Convert to fraction form
    196,304/310,976 = 310,976/x
  3. Step 3: Cross multiply
    196,304x = 310,976 × 310,976
  4. Step 4: Simplify right side
    196,304x = 96,706,072,576
  5. Step 5: Solve for x
    x = 96,706,072,576/196,304
  6. Step 6: Final answer
    x = 492,634.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.