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Finding the Third Proportional to 180,967.50 and 383,805

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Solution

The third proportional to 180,967.50 and 383,805 is: 813,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,967.50 : 383,805 = 383,805 : x
  2. Step 2: Convert to fraction form
    180,967.50/383,805 = 383,805/x
  3. Step 3: Cross multiply
    180,967.50x = 383,805 × 383,805
  4. Step 4: Simplify right side
    180,967.50x = 147,306,278,025
  5. Step 5: Solve for x
    x = 147,306,278,025/180,967.50
  6. Step 6: Final answer
    x = 813,993.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.