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Finding the Third Proportional to 173,043 and 383,661

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Solution

The third proportional to 173,043 and 383,661 is: 850,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,043 : 383,661 = 383,661 : x
  2. Step 2: Convert to fraction form
    173,043/383,661 = 383,661/x
  3. Step 3: Cross multiply
    173,043x = 383,661 × 383,661
  4. Step 4: Simplify right side
    173,043x = 147,195,762,921
  5. Step 5: Solve for x
    x = 147,195,762,921/173,043
  6. Step 6: Final answer
    x = 850,631.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.