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Finding the Third Proportional to 147,676.50 and 222,867

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Solution

The third proportional to 147,676.50 and 222,867 is: 336,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,676.50 : 222,867 = 222,867 : x
  2. Step 2: Convert to fraction form
    147,676.50/222,867 = 222,867/x
  3. Step 3: Cross multiply
    147,676.50x = 222,867 × 222,867
  4. Step 4: Simplify right side
    147,676.50x = 49,669,699,689
  5. Step 5: Solve for x
    x = 49,669,699,689/147,676.50
  6. Step 6: Final answer
    x = 336,341.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.