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Finding the Third Proportional to 82,373 and 180,783

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Solution

The third proportional to 82,373 and 180,783 is: 396,762.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,373 : 180,783 = 180,783 : x
  2. Step 2: Convert to fraction form
    82,373/180,783 = 180,783/x
  3. Step 3: Cross multiply
    82,373x = 180,783 × 180,783
  4. Step 4: Simplify right side
    82,373x = 32,682,493,089
  5. Step 5: Solve for x
    x = 32,682,493,089/82,373
  6. Step 6: Final answer
    x = 396,762.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.