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Finding the Third Proportional to 147,794 and 306,098

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Solution

The third proportional to 147,794 and 306,098 is: 633,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,794 : 306,098 = 306,098 : x
  2. Step 2: Convert to fraction form
    147,794/306,098 = 306,098/x
  3. Step 3: Cross multiply
    147,794x = 306,098 × 306,098
  4. Step 4: Simplify right side
    147,794x = 93,695,985,604
  5. Step 5: Solve for x
    x = 93,695,985,604/147,794
  6. Step 6: Final answer
    x = 633,963.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.