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Finding the Third Proportional to 168,729.75 and 356,433.75

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Solution

The third proportional to 168,729.75 and 356,433.75 is: 752,949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,729.75 : 356,433.75 = 356,433.75 : x
  2. Step 2: Convert to fraction form
    168,729.75/356,433.75 = 356,433.75/x
  3. Step 3: Cross multiply
    168,729.75x = 356,433.75 × 356,433.75
  4. Step 4: Simplify right side
    168,729.75x = 127,045,018,139.06
  5. Step 5: Solve for x
    x = 127,045,018,139.06/168,729.75
  6. Step 6: Final answer
    x = 752,949.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.