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Finding the Third Proportional to 147,696 and 356,083

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Solution

The third proportional to 147,696 and 356,083 is: 858,487.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,696 : 356,083 = 356,083 : x
  2. Step 2: Convert to fraction form
    147,696/356,083 = 356,083/x
  3. Step 3: Cross multiply
    147,696x = 356,083 × 356,083
  4. Step 4: Simplify right side
    147,696x = 126,795,102,889
  5. Step 5: Solve for x
    x = 126,795,102,889/147,696
  6. Step 6: Final answer
    x = 858,487.05

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.