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Finding the Third Proportional to 230,616 and 336,996

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Solution

The third proportional to 230,616 and 336,996 is: 492,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,616 : 336,996 = 336,996 : x
  2. Step 2: Convert to fraction form
    230,616/336,996 = 336,996/x
  3. Step 3: Cross multiply
    230,616x = 336,996 × 336,996
  4. Step 4: Simplify right side
    230,616x = 113,566,304,016
  5. Step 5: Solve for x
    x = 113,566,304,016/230,616
  6. Step 6: Final answer
    x = 492,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.