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Finding the Third Proportional to 179,943 and 382,024.50

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Solution

The third proportional to 179,943 and 382,024.50 is: 811,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943 : 382,024.50 = 382,024.50 : x
  2. Step 2: Convert to fraction form
    179,943/382,024.50 = 382,024.50/x
  3. Step 3: Cross multiply
    179,943x = 382,024.50 × 382,024.50
  4. Step 4: Simplify right side
    179,943x = 145,942,718,600.25
  5. Step 5: Solve for x
    x = 145,942,718,600.25/179,943
  6. Step 6: Final answer
    x = 811,049.71

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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.