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Finding the Third Proportional to 147,766 and 306,042

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Solution

The third proportional to 147,766 and 306,042 is: 633,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,766 : 306,042 = 306,042 : x
  2. Step 2: Convert to fraction form
    147,766/306,042 = 306,042/x
  3. Step 3: Cross multiply
    147,766x = 306,042 × 306,042
  4. Step 4: Simplify right side
    147,766x = 93,661,705,764
  5. Step 5: Solve for x
    x = 93,661,705,764/147,766
  6. Step 6: Final answer
    x = 633,851.53

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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.