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Finding the Third Proportional to 170,775 and 361,800

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Solution

The third proportional to 170,775 and 361,800 is: 766,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,775 : 361,800 = 361,800 : x
  2. Step 2: Convert to fraction form
    170,775/361,800 = 361,800/x
  3. Step 3: Cross multiply
    170,775x = 361,800 × 361,800
  4. Step 4: Simplify right side
    170,775x = 130,899,240,000
  5. Step 5: Solve for x
    x = 130,899,240,000/170,775
  6. Step 6: Final answer
    x = 766,501.19

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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.